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Archive 1

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January 2014

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Topologies of uniform convergence

I think the title of your new article Topologies of uniform convergence might be too general. The article treats only the case of topological vector spaces, but the notion of uniform convergence makes sense in any uniform space. Perhaps Uniform convergence in a topological vector space (or similar) would be a better title? Sławomir Biały (talk) 13:29, 26 January 2014 (UTC)

How about Topologies of uniform convergence on spaces of linear maps? Sławomir Biały (talk) 23:39, 26 January 2014 (UTC)
That's not accurate however since, for instance, this construction is also used for bilinear maps and this name would exclude this set of maps (since the only map that is both linear and bilinear is the 0 map)Mgkrupa (talk) 00:36, 27 January 2014 (UTC)
There is a suggestion at WT:WPM to merge with Polar topology. Sławomir Biały (talk) 13:06, 27 January 2014 (UTC)

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Commutative Diagram Example

I realize it's been some time since you added the example here, and I certainly understand you have no obligation to respond, but if you're willing, I had hoped you might clarify why, in the third example you provided, "it is generally not enough to only have equalities (1) and (2)" for the diagram to commute.

Specifically, it seems I can derive equality (3) from equalities (1) and (2) by showing that rhg = HGl = Hmg and eliminating g by epimorphism, leaving rh = Hm, as desired.

This is not my area of expertise, but if you would be so generous as to even cite a source for the examples, I will happily correct my intuition and supplement the article for my own sake.

Thank you for your time and your contributions.

--Absemindprof (talk) 01:01, 9 October 2016 (UTC)

Hi Absemindprof and thank you for your message. If g had been an epimorphism then that would work but no assumptions were made about any of the objects or morphisms in that example. I guess that point should be emphasized. A counter example in the category of sets is , , , being the only possible maps, and (resp. ) sending its only element to (resp. ). Feel free to include this example in that article if you want. Best wishes. Mgkrupa (talk) 01:30, 9 October 2016 (UTC)
Ah, yes, that makes my misstep perfectly clear. With luck, I'll add your counter-example later this week. Thank you again for your time, and I very much appreciate the explanation! --Absemindprof (talk) 21:30, 9 October 2016 (UTC)

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Nomination of Nulla poena sine culpa for deletion

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== About adding

on 'Kuratowski and Ryll-Nardzewski measurable selection theorem' article ==

Hi! I wonder if this template is correct for this article, since most articles on functional analysis are about linear operators and not about generic set-valued functions (also known as multifunction). In fact, the latter is not a topic of

.

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TOO MANY ITALICS!

Please: Look at this edit. One does not indiscriminately italicize everything in non-TeX math notation. Variables are italicized; digits are not; punctuation, including parentheses and brackets as delimiters, are not; things like det, cos, max, log, etc. are not.

This is codified in WP:MOSMATH.

The point is of course to be consistent with the way LaTeX does it. Michael Hardy (talk) 19:11, 28 April 2020 (UTC)

functional analysis template

Hello,

I have removed the FA template you added to a few articles, namely ramanujan graph, superstrong approximation and hearing the shape of a drum. The reason each time is that, while the topic of the article has a connection to FA, it does not belong there as a primary field and so putting the template at the end would be misleading. If you want to discuss the particulars we can do that on each article's talk page.

Best,

jraimbau (talk) 10:41, 4 May 2020 (UTC)

I'm fine with that. Thank you for your contributions.Mgkrupa (talk) 12:56, 4 May 2020 (UTC)

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Context

The phrase "In order theory and functional analysis" fails to tell the lay reader that a topic in mathematics is what an article is about. I changed it to say "In mathematics, specifically in order theory and functional analysis". Michael Hardy (talk) 02:35, 19 May 2020 (UTC)

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Ways to improve Convex series

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Ways to improve Surjection of Fréchet spaces

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Your edit of Series

Your edit [[1]] has several problems that makes difficult to other readers to evaluate it without wasting their time. Here are the issues:

  • The edit summary ("Reorganized") does not really reflect the content of the edit (see the other points)
  • The edit modifies only the section "Generalizations". This makes the edit summary misleading, as the whole article is edited (not simply the involved section). Please, when possible use the option of editing a single section at a time.
  • The edit is not only a reorganization of this section, but contain other modifications that deserve a separate discussion. Please, do not do in a single edit modification that would need separate discussion.
  • The first modification that one see when looking at your edit is the addition of spaces around section headings. As this does not change the rendering, and the reason of this modification is not explained, this falls under MOS:VAR, and could be reverted without considering the remainder of your edit.
  • Your edit removes without explanation the link to Banach space
  • Your edit contains also modifications of English phrasing and Latex style of some formulas. I have not looked at them, having wasted sufficiently time with other issues.

So, as Wikipedia is a collective work, please, make tour edits easer to evaluate. D.Lazard (talk) 09:21, 3 June 2020 (UTC)

An article you recently created, Analysis of vector-valued curves, does not have enough sources and citations as written to remain published. It needs more citations from reliable, independent sources. (?) Information that can't be referenced should be removed (verifiability is of central importance on Wikipedia). I've moved your draft to draftspace (with a prefix of "Draft:" before the article title) where you can incubate the article with minimal disruption. When you feel the article meets Wikipedia's general notability guideline and thus is ready for mainspace, please click on the "Submit your draft for review!" button at the top of the page. — MarkH21talk 20:43, 7 June 2020 (UTC)

Your articles on openness properties

Hi Mgkrupa, I have opened a discussion about a series of articles you created in April; you are invited to comment here. --JBL (talk) 16:19, 8 June 2020 (UTC)

Please pay attention to WP:TECHNICAL in your editing. The version of a mathematical concept that we should start out a Wikipedia mathematics article with is usually not the version that is the most general, or the most rigorous, but rather the version that is the most understandable to a wide audience. I have twice now undone your edits to convex hull, which I recently put considerable effort into making clear, comprehensive, and accessible, because your edits made the article significantly less accessible without adding much or any information that would be of use to most readers. Please stop doing that. —David Eppstein (talk) 22:11, 8 June 2020 (UTC)

Okay, but I think that there should be a section at the end of the article for more advanced readers (e.g. math undergrads learning about convex sets or graduate students learning Functional Analysis for the first time). Do you oppose this? Mgkrupa (talk) 16:22, 9 June 2020 (UTC)
There is already lots of material towards the end of the article providing more advanced perspectives on convex hulls. None of it demands notation-heavy and jargon-heavy reformulations based on topological vector spaces. What does this reformulation actually provide, beyond obfuscation? —David Eppstein (talk) 17:01, 9 June 2020 (UTC)
The convex hull of a subset is extremely important in Functional Analysis because of locally convex spaces, which is a major field of study in the field. Because of this, I don't find it reasonable to exclude mention of important basic results in Functional Analysis that related to convex hulls; results that could prove useful to a more advanced reader (e.g. a student of Functional Analysis) who wants to look up some basic properties that would be useful to them (for instance, useful properties that do not appear in every introductory text to Functional Analysis but are spread across several books). Currently, the article is not very useful to such readers.Also, I have intention of repeating information that is already present in the article. Mgkrupa (talk) 17:12, 9 June 2020 (UTC)
Your writeup didn't include results. It included reformulations of basic definitions in an equivalent but much less readable formalism. The connection to functional analysis is already described in very brief terms in Convex hull#Functions, and again in Convex hull#Mathematics. Convex hulls are important in lots of areas; we need to keep them in balance rather than taking over the article with a formalism preferred in one of these areas and not even applicable in some others. —David Eppstein (talk) 17:46, 9 June 2020 (UTC)

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Ways to improve Positive linear operator

Hello, Mgkrupa,

Thank you for creating Positive linear operator.

I have tagged the page as having some issues to fix, as a part of our page curation process and note that:

As written, the body of the article says almost nothing about the topic named in the title of the article; I have no idea what article the content in the body belongs in, but it's very hard to see how it could be one with this title! Compare with Positive_linear_functional, whose body is concerned with positive linear functionals and their properties.

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Cut-and-paste moves

Don't do them! They destroy or obscure the history of the article. Instead, use Wikipedia:Requested_moves. --JBL (talk) 21:40, 17 June 2020 (UTC)

Sorry. I didn't relalize that Wikipedia:Requested_moves was an option. I'll use that from now on. Thanks for telling me. Mgkrupa (talk) 22:13, 17 June 2020 (UTC)

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Ways to improve Inductive tensor product

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Thank you for creating Inductive tensor product.

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Wiki markup

Can you please just use wiki markup for lists, it's actually easier than HTML notation. That way people don't have to go in and clean up behind you. Jerod Lycett (talk) 06:07, 20 July 2020 (UTC)

Some baklava for you!

Thx for creating Vector bornology! (t · c) buidhe 21:23, 23 July 2020 (UTC)

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Your recent edits

In one of your recent edits in Continuous function, you have systematically added spaces around each heading. As this does not change the display, and both spacing rules are accepted by WP, such a change is strictly forbidden by MOS:VAR.

In your other edits to the same article, you have systematically replaced normal links by annotated links. When linked articles do not have a short description, this is also forbidden by MOS:VAR. Moreover, such a change is definitely not a good idea, because, if a short description is added in the future to the linked article, you cannot guess that the description will be convenient for being displayed here. If a short description already exists, {{annotated link}} must not be used without verifying that the description is adapted. So, this template must, in any case, be used with care, which you have clearly not done.

Please, stop this WP:disruptive editing. If I see that you continue, I'll revert you, even if your edit contains useful parts. D.Lazard (talk) 17:21, 11 August 2020 (UTC)

Now I know. Mgkrupa (talk) 17:34, 11 August 2020 (UTC)

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Please add a reliable source for this material. The math may be easily verified, but the assertion that this helps anyone remember the double angle formulas is not. -Apocheir (talk) 22:05, 2 September 2020 (UTC)

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I have sent you a note about a page you started

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Thank you for creating Cone-saturated.

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I have sent you a note about a page you started

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Thank you for creating Normal cone (functional analysis).

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I have sent you a note about a page you started

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Thank you for creating Band (order theory).

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I have sent you a note about a page you started

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Thank you for creating Band (order theory).

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Definition of T-sequential space

Hi Mgkrupa. In your definition of T-sequential space in Sequential space, items 3 and 4, aren't the "Note that ..." inclusions backwards? Also, the notions of T-sequential and N-sequential seem very specialized. Nothing wrong with them, but if they were only used by a single author in a single paper, that would not make them as interesting. Apart from the original article from Snipes (1970?) that introduced them, do you know of any more recent articles that make use of them? PatrickR2 (talk) 22:22, 13 September 2020 (UTC)

Hi Patrick. Fixed the issues you mentioned. Thanks. Also, I consider the primary importance of the T-sequential and N-sequential properties to be that they show what properties a sequential space can not be assumed to have. It is for this same reason that I mention Fréchet–Urysohn spaces in detail. For instance, in a sequential space X, where every sequentially closed subset is closed, I don't think it's obvious that the intersection of all sequentially closed subsets of X containing a set S is not necessarily sequentially closed. But maybe that's just my personal limitation. Mgkrupa 22:31, 13 September 2020 (UTC)
I understand, and thanks for all the information that you added. Still, not for adding to wikipedia, but I would be curious to see more recent articles that make use T-sequential/N-sequential. Do you know of any? The only ones I saw in a google search were at most mentioning Snipes's article, but nothing making really use T-sequential. PatrickR2 (talk) 23:00, 13 September 2020 (UTC)
I saw a couple of articles but this was a while ago so I unfortunately can't point you to any particular direction. It's also possible for properties go by different names. I'd search for articles that mention both "sequential space" and "Fréchet–Urysohn space" since they're more likely to include information about T-sequential and neighborhood sequential spaces. Mgkrupa 23:03, 13 September 2020 (UTC)

Appert space

You just added "See also: to List of topologies" for Appert topology. That is not useful. We already have "Category: Topological spaces" at the bottom of the article. Adding this new "List of topologies" is just fluff and redundant. Not sure of the utility of List of topologies. But if you really want that page, I think more useful would be to have that page point to the existing Topological spaces among other things. No need to duplicate lists like that.

And apart from that, I think renaming the article to be Appert space as the main title (it's currently a redirect) instead of Appert topology (which can become a redirect) would make more sense. Steen & Seebach call it "Appert space" and that's what it is: it's a specific set with a specific topology. What do you think? PatrickR2 (talk) 03:57, 16 September 2020 (UTC)

One of the main points of List of topologies is to list specific topologies or topological spaces that are for instance, counterexamples or have unusual properties. The article Topological spaces does not have such a list nor should it (in my opinion). The page "Category: Topological spaces" has a subcategory "Category: Properties of topological spaces" with 88 articles so it isn't exactly a list of specific topologies. We could create a Category :List of topologies" but then a reader would have to check each individual page for a description of why that topology is important. As for the article Appert space, you can do whatever you want with it. Best wishes. Mgkrupa 04:38, 16 September 2020 (UTC)
I agree that Topological spaces should not have a list of spaces. What I meant instead was "Category:Topological spaces". PatrickR2 (talk) 05:20, 16 September 2020 (UTC)
Didn't know it existed. Although it does have the problem that I mentioned above. Mgkrupa 05:24, 16 September 2020 (UTC)

you're on a fuckin' tear mate

YOU'RE GETTIN' NOTICED! keep it up!! 198.53.109.35 (talk) 01:56, 17 September 2020 (UTC)

Thanks!Mgkrupa 02:06, 17 September 2020 (UTC)

Edits to Hahn-Banach

Hi, MgKrupa. Thank you for your (quite extensive) edits to Hahn-Banach theorem. In the future, please be more selective about what you include in an article. Articles are not meant to stand alone and should not restate all relevant definitions at the beginning, especially if the target audience for a section of text is likely to already be familiar with them. For example, a student (or researcher) looking up Hahn-Banach will almost certainly know the definition of "nonnegative." Instead, please hyperlink to an appropriate article discussing the topic, so that the confused can find information if they need.

More generally, please try to write your articles so that they gradually increase in difficulty: the introductory section might assume an undergraduate as a target audience, but section 9.3 (to pull a number out of a hat) will likely be aimed at a researcher. Thanks, Bernanke's Crossbow (talk) 04:06, 17 September 2020 (UTC)

Okay. I'll keep that in mind. I'll try to avoid putting in any kind of "preliminaries" section and instead try to redirect people to other articles (assuming that those articles have the needed information or if they don't, then that I am allowed to insert the needed information). Mgkrupa 05:06, 17 September 2020 (UTC)

Preserve the gentle introductions that have already been written

Your dedication to editing articles in functional analysis topics is remarkable. However, it is important that the articles be accessible to readers, by offering a gentle introduction to the subject of the article, before embarking on maximal generality. Wikipedia is not a textbook or a research handbook, so generalities should be relegated to the end of the article, and even then only in brief.

This entry into your talk page is prompted by your edits to the article on Distributions. Please see the talk page there for my comment. I also observe that David Eppstein has written in your User page about the issue of technicality of your edits.

Initial context-setting in an article

In this version of an article you created, nothing in the first sentence even hinted to the lay reader that mathematics is what this is about. See my recent edit correcting that problem. Michael Hardy (talk) 22:13, 24 September 2020 (UTC)

Punctuation and capitalization

Vector-Valued Hahh-Banach theorems
Vector-valued Hahn–Banach theorems

I changed the first title about to the second, setting the "v" in "valued" in lower case and changing the second hyphen to an en-dash (while of course leaving intact the first hyphen. Also I set the initial "v" in "vector" in lower case in the initial sentence, since it was not at the beginning of the sentence.

These things are codified in WP:MOS. Michael Hardy (talk) 22:22, 24 September 2020 (UTC)

Missing cite in Inverse limit

The article cites "Bierstedt 1988" but no such source is listed in bibliography. Can you please add? Also, suggest installing a script to highlight such errors in the future. All you need to do is copy and paste importScript('User:Svick/HarvErrors.js'); // Backlink: [[User:Svick/HarvErrors.js]] to your common.js page. Thanks, Renata (talk) 04:46, 2 October 2020 (UTC)

There are more cites missing: "Megginson (1998)" in Complete topological vector space, "Trèves 1995" in Barrelled space, Closed graph theorem, Closed graph theorem (functional analysis). Renata (talk) 03:22, 17 October 2020 (UTC)

Also "Bourbaki 1989" in Filters in topology. Renata (talk) 04:14, 17 October 2020 (UTC)

Also "Treves 1999" in Transpose of a linear map and Transpose. Renata (talk) 04:53, 17 October 2020 (UTC)

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Style changes

Hi there, I undid some of your recent math style change edits per MOS:STYLERET ([2], [3]). See MOS:FORMULA: "For inline formulae, such as a2 − b2, the community of mathematical editors of English Wikipedia currently has no consensus about preferred formatting." Before you make such large changes to styles of article, please start a talk page discussion. As MOS:STYLERET says: "When either of two styles are acceptable it is inappropriate for a Wikipedia editor to change from one style to another unless there is some substantial reason for the change." Thanks. - DVdm (talk) 22:25, 7 February 2021 (UTC)

Okay.Mgkrupa 22:27, 7 February 2021 (UTC)


Hi Mgkrupa, I am new to wikipedia and am not entirely sure whether this is the correct way to contact you, so I apologise if it is not. In Metrizable topological vector space:Normability you quote Trèves and give the statement that a Hausdorff locally convex space is normable if and only if its strong dual is metrisable. I checked Trèves and indeed found the quoted excercise (it is not proven in the Text as far as i can tell), but the following is a counterexample:

space of tempered distributions over with its strong dual topology.

Clearly, is not normable, yet its strong dual space of Schwartz functions over with its usual topology is in fact metrisable.

Hey there. You are correct that the statement of problem 19.4 in Trèves (p. 201) is false (specifically, part (c) does not imply either of the other two statements) and I have updated Metrizable topological vector space#Normability accordingly. The book states that all problems assume that is a Hausdorff locally convex TVS and then made the following incorrect claim in problem 19.4:
False statement: If the strong dual space is metrizable then is necessarily normable.
If statement was true then it would imply that every reflexive Fréchet space is necessarily normable, which is false. Although is false, the converse of statement is of course true. If was assumed to be a metrizable locally convex space then statement would be true; see: Gabriyelyan, S.S. "On topological spaces and topological groups with certain local countable networks (2014). In fact, this paper states that if is a metrizable locally convex space, then is normable if and only if its strong dual is a Fréchet-Urysohn space (FYI, every metrizable space is a Fréchet-Urysohn space). So the strong dual of a non-normable metrizable LCTVS is in fact never metrizable (and in fact, also not even Fréchet-Urysohn, which is a strictly larger category of TVSs than the category of metrizable TVSs).
You also said: "am not entirely sure whether this is the correct way to contact you". This is the correct way to contact me or any other Wikipedia editor so don't worry about it. And thank you for finding this error. Mgkrupa 00:13, 27 April 2021 (UTC)
Thank you for correcting the mistake. I am happy to have helped :) Iolojz (talk) 07:30, 27 April 2021 (UTC)

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Uh, did you intend to move this to User:Analysis of vector-valued curves? If you want it in user space, it should be a sub-page of your user page, not a name of someone else (or of nobody else). —David Eppstein (talk) 05:34, 22 March 2021 (UTC)
No I did not. Oops. Thank you for pointing this out.Mgkrupa 20:05, 22 March 2021 (UTC)

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Sloppy edit in Minkowski functional

Hi. The edit 1030931448 introduced issues. Please try to rectify them. You have introduced "it is deduce" and misused <math> and </math> in this note and, as a consequence, there are several tags being shown in wiki text. BernardoSulzbach (talk) 20:25, 29 June 2021 (UTC)

If fixed those and other errors. I looked through the article several times and did not notice any more issues. Thank you for informing me.Mgkrupa 22:21, 29 June 2021 (UTC)

An automated process has detected that when you recently edited Differentiation in Fréchet spaces, you added a link pointing to the disambiguation page Multilinear.

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Your edit on Lattice (order theory)

As part of this edit, you replaced italics with {{em}} templates. Please note that italics are not only used for MOS:EMPHASIS, but, among other things, also for introducing MOS:TECHNICAL terms, for which the {{em}} template is not normally appropriate.

Also, please try to avoid large multiple-issues edits. They are much harder to check and correct/undo than a set of single-issue and/or smaller edits.

Happy editing, Paradoctor (talk) 22:05, 8 August 2021 (UTC)

Formula and Styleret

Regarding this: See MOS:FORMULA: "For inline formulae, such as a2 − b2, the community of mathematical editors of English Wikipedia currently has no consensus about preferred formatting." See also MOS:STYLERET. When we don't like some particular style and prefer another one, we better take it to the talk page first. - DVdm (talk) 08:18, 3 September 2021 (UTC)

Your unnecessary changes made the article less compliant with WP:ACCESSIBILITY. Please rectify this. Mgkrupa 17:20, 4 September 2021 (UTC)
I didn't make changes. You did, remember? And I undid per the above reasons. The place to go is the talk page and see what others think about your intentions—see MOS:STYLERET. Good luck. - DVdm (talk) 17:40, 4 September 2021 (UTC)

Template:Families of sets

I'm think {{Families of sets}} is better suited as a navbox-style template at the bottom of the page. Right now, there are major problems. On mobile, you wouldn't want the first thing to see when you open a page like σ-algebra to be a gigantic template too wide to comfortably read. On desktop, the table is broken on smaller screen sizes – when you reduce the width of the window, the table won't change. Turning the template into a navbox would solve these problems. intforce (talk) 00:53, 19 September 2021 (UTC)

Okay Mgkrupa 00:55, 19 September 2021 (UTC)

You apparently routinely change the case of link targets in piped links when copy-editing articles. Could you please stop doing that? It's completely unnecessary, and it produces an immense amount of noise for others who review your changes. Thanks. —Tea2min (talk) 07:14, 16 November 2021 (UTC)

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Your recent edits

Please, when you edit an article, edit only one section at a time, and indicate which section is edited in the edit summary. Evidently this does not applies for major restructuring, but such edits must, in any case, be preceded by a discussion or a detailed explantation on the talk page.

This can be done by using the edit button in the heading line, or, equivalently, by beginning the edit summary by /* Name of the section */.

This may save a lot of article-watcher time, by allowing them to quicly locate edits in a long article, and knowing, without looking at the edit, whether it is in the part of the article that they are interested in. Also, when a part of the edit is controversial, this makes partial undo much easier.

For example, you did recently four edits on series (mathematics). It took me some time for understanding which sections are implied. This needed to open all edit diffs, and, in two cases where the section heading do not appear in the diff, to find a phrase near the edit that is likely to appear only once in the article, and searching the phrase in the article. All this work for knowing that only the last section of the article has been modified.

This article has 289 watchers, and almost 20,000 viewers in the last 30 days. One may suppose that very few of them are interested in the last section. So, you can imagine the total editor time wasted by the poorness of your edit summary.

So, please take more care of other editors by following the rules suggested above. D.Lazard (talk) 11:56, 23 November 2021 (UTC)

Your submission at Articles for creation: Kaisa Group Holdings Limited (December 9)

Your recent article submission to Articles for Creation has been reviewed! Unfortunately, it has not been accepted at this time. The reason left by RPSkokie was: Please check the submission for any additional comments left by the reviewer. You are encouraged to edit the submission to address the issues raised and resubmit when they have been resolved.
RPSkokie (talk) 04:08, 9 December 2021 (UTC)
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Treves's Theorem 24.5

Hi there, I found an issue with your presentation of Treves's Theorem 24.5. Please read my comment at https://en.wikipedia.org/wiki/Talk:Spaces_of_test_functions_and_distributions. Thatsme314 (talk) 01:52, 15 December 2021 (UTC)

An automated process has detected that when you recently edited Locally convex topological vector space, you added a link pointing to the disambiguation page Pseudometric.

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Hi, Mgkrupa. I would like to dispute your recent edit to this article. Formerly, the first sense of the term was purely related to abstract linear algebra, and so was always linear. Your change introduces the idea that the first sense may be non-linear, which is contradictory to the intent of the article. It seems that you are trying to fold the second sense into the first, but this goes against the point of the article. Eleuther (talk) 14:12, 23 December 2021 (UTC)

Hi, again, I have fixed the article. I see that you have been making a lot of drive-by changes to other math-related articles, too. I hope they were not as bad as this one was. Cheers, Eleuther (talk) 16:45, 26 December 2021 (UTC)

Template:Bachman Narici Functional Analysis 2nd Edition

Complemented subspace is in hidden Category:Harv and Sfn no-target errors, and this is attributable to its two uses of {{sfn|Bachman|Narici|2000}}. This should work, but something must be wrong with {{Bachman Narici Functional Analysis 2nd Edition}}. I don't see the problem, but hopefully you can figure it out. —Anomalocaris (talk) 22:55, 26 December 2021 (UTC)

Thank you for bringing that to my attention.Mgkrupa 05:06, 27 December 2021 (UTC)