Talk:Invertible knot

It is requested that an image or photograph of a knot being continuously deformed to itself, but with its orientation reversed be included in this article to improve its quality. Please replace this template with a more specific media request template where possible.
The Free Image Search Tool or Openverse Creative Commons Search may be able to locate suitable images on Flickr and other web sites.

Upload

Definitions

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

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]

External links modified

Hello fellow Wikipedians,

I have just modified one external link on Invertible knot. Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:

Added archive https://web.archive.org/web/20131215102511/http://www.math.harvard.edu/~ctm/home/text/class/harvard/101/05/html/home/pdf/first.pdf to http://www.math.harvard.edu/~ctm/home/text/class/harvard/101/05/html/home/pdf/first.pdf

When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.

This message was posted before February 2018. After February 2018, "External links modified" talk page sections are no longer generated or monitored by InternetArchiveBot. No special action is required regarding these talk page notices, other than regular verification using the archive tool instructions below. Editors have permission to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the RfC before doing mass systematic removals. This message is updated dynamically through the template {{source check}} (last update: 5 June 2024).

If you have discovered URLs which were erroneously considered dead by the bot, you can report them with this tool.
If you found an error with any archives or the URLs themselves, you can fix them with this tool.

Cheers.—InternetArchiveBot (Report bug) 23:34, 15 November 2017 (UTC)[reply]