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knot theory (Topic)
ChiSquaredStatistic

"knot theory" is owned by CWoo. [ full author list (2) | owner history (1) ]
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See Also: unknot, connected sum

Also defines:  knot, link, knot diagram, Reidemeister moves, vertices, elementary deformation

Attachments:
amphicheiral knot (Definition) by Mathprof
crossing change (Definition) by PrimeFan
alternating knot (Definition) by Mathprof
writhe (Definition) by PrimeFan
mirror image of a knot (Definition) by Mathprof
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Cross-references: homeomorphism, orientation-preserving, submanifold, smooth, segment, intersects, adjacent vertices, triangle, closed, equivalence, curves, Conway notation, prime knots, complex, invariants, inverse, side, consecutive, parallel, sequence, unknot, represent, points, plane, onto, projection, clear, mean, information, equivalence class, exact form, component, disjoint, terms, number, infinite, connected sum, wild, pathological, simple, equivalent, simple closed curve
There are 60 references to this entry.

This is version 6 of knot theory, born on 2002-12-19, modified 2007-08-27.
Object id is 3778, canonical name is KnotTheory.
Accessed 20343 times total.

Classification:
AMS MSC57M25 (Manifolds and cell complexes :: Low-dimensional topology :: Knots and links in $S^3$)

Pending Errata and Addenda
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Discussion
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knots on PM by matte on 2005-04-29 14:14:47
KnotPlot (http://www.pims.math.ca/knotplot/)
seems to be able to generate quite
good quality knot pictures in eps format. See e.g.

 http://www.pims.math.ca/knotplot/postscript/m/psm_040.html

KnotPlot also includes a database of over 400 knots and links.
These are accesable using their standard names, e.g., $3_1$ for
the trefoil knot.

I think it would be great if PM had at least a
rudimentary dictionary of knots and links. However, uploading even
houndreds of eps files to PM would be quite a job for a remote
user. Is there any intelligent way to do this? Do we want a knot
dictionary on PM?

Also, how is it? The knotplot site does not state any licence
for KnotPlot except "Go to the download site for a free copy."
Does that mean that the output of the program is "free", too?
Ideas? The knot dictionary in the program is taken (with
permission) from Dale Rolfsen. Knots and Links.
Publish or Perish, Inc., 1976.

Matte
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