Talk:Varifold
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approximate tangent space of \Omega ? -- and more[edit]
The text "in the approximate tangent space of the set $\Omega$." is confused. $\Omega$ is an open set, so the word "approximate" should be removed.
Approximate tangents are important in connection to rectifiable varifolds (which is a subclass of varifolds), and probably need to be mentioned later when $\Gamma_{M,A}$ is defined.
There might be more unpreciseness in the article, like that "there is no boundary operator": There is a first variation which very well stands for what boundary would be.
90.180.192.165 (talk) 00:47, 23 December 2012 (UTC)
Examples? Applications?[edit]
This article is very good, but would also be significantly improved by the inclusion of some concrete examples and some applications of the concept.50.205.142.50 (talk) 14:45, 14 July 2020 (UTC)
Boundary operator[edit]
This article is helpful, but I think the sentence about there being no boundary operator should be removed -- not only because there seem to be definitions of boundary operators for varifolds which seem reasonable, but also because nonorientability isn't a barrier to defining boundary operators in traditional topology, in either the manifold-with-boundary sense or in the simplicial/singular chain sense (e.g. a Mobius strip is nonorientable but few would argue that it doesn't have boundary homeomorphic to a circle, and traditional notions of boundary operators on chains certainly hold over nonorientable spaces like RP^2). 2603:8001:8EF0:7EA0:8935:E38A:41C8:2D45 (talk) 22:39, 20 May 2023 (UTC)