Talk:Knot theory

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Date	Process	Result
March 28, 2009	Featured article candidate	Not promoted

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Knots

This article is within the scope of WikiProject Knots, a collaborative effort to improve the coverage of knots on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.KnotsWikipedia:WikiProject KnotsTemplate:WikiProject KnotsKnots articles

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References[edit]

Shouldn't the references use footnotes rather than being inline like they currently are? -- Eraserhead1 <talk> 16:22, 15 January 2010 (UTC)[reply]

Knot Equivalence[edit]

The definition given there appears to be wrong. Actually it is defining "isotopy" rather than "ambient isotopy" and it is well-known (see e.g. the first pages of Burde-Zieschang: "Knots") that isotopy does not imply ambient isotopy. (Besides the map would only have to be injective level-wise, and moreover, of course it can not be injective as a map on [0,1] but rather on S^1.)--Kamsa Hapnida (talk) 12:05, 8 June 2015 (UTC) I have replaced that by a correct definition now.--Kamsa Hapnida (talk) 12:14, 8 June 2015 (UTC)[reply]

Assessment comment[edit]

The comment(s) below were originally left at Talk:Knot theory/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.

History section could use some more references, especially to historically important papers. -- Jitse Niesen (talk) 05:08, 26 April 2007 (UTC)[reply]

Knot definition

The definition says that a knot is an injective continuous function K:[0,1]->R^3 with K(0)=K(1), but really K isn't injective if K(0)=K(1). — Preceding unsigned comment added by 2601:199:301:1691:C4E4:4553:198C:1587 (talk) 20:11, 12 January 2017 (UTC)[reply]

History has been spun off into its own article, since people found it a bit distracting and long. --C S (talk) 22:26, 15 March 2009 (UTC)[reply]

Last edited at 22:26, 15 March 2009 (UTC). Substituted at 21:20, 29 April 2016 (UTC)

Recent Advance[edit]

This is not(!) my area but I came across this which sounds like a big deal: https://www.maths.ox.ac.uk/node/38304
Relates to "unknot" equivalence determination in near polynomial time by M Lackenby. Billymac00 (talk) 13:29, 3 February 2021 (UTC)[reply]

That's interesting! I added a mention of this announcement, both here and on Lackenby's page. Turgidson (talk) 15:15, 3 February 2021 (UTC)[reply]

Knot Theory in Higher Dimensions[edit]

Not sure where to raise this, but the subheader in the article begins to explain how to do it, and then sort of cuts short with "it's very technical". I feel as though this section should be revised, either to be more concise, or more precise. Also, a citation would be nice for those of us who want to learn how its done. — Preceding unsigned comment added by 203.211.110.97 (talk) 12:35, 29 May 2021 (UTC)[reply]