Talk:Invertible knot

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Definitions[edit]

Another page I created in my user space here. A few things:

I couldn't find a good definition of an invertible link.
I couldn't find an understandable (for me) definition of a strongly invertible knot. (although I did find a reference that had a definition, but I couldn't understand it well enough to know what exactly it meant, so I just included it in that section.)

Fixed. Thank you C S. J kasd 03:49, 13 May 2008 (UTC)[reply]

An animation is (hopefully) on the way, a depiction of a trefoil knot becoming inverted.

Don't hesitate to fix any problems you find. Thank you -- J kasd 07:37, 10 May 2008 (UTC)[reply]

General method[edit]

The statement that no general method is known to tell whether a knot is invertible or not is somewhat ambiguous. The group structure (fundamental group and peripheral subgroups/generators) determine a knot up to ambient isotopy, and the action of reversal on this structure is well-defined. On the other hand this problem in general has no known algorithmic solution. So I guess I see what is meant here, but it is still a bit strange. I have therefore added a remark about it. Mad2Physicist (talk) 00:53, 17 April 2009 (UTC)[reply]

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