Smith conjecture
id:
smith-conjecture-311-3385830
title:
Smith conjecture
text:
In mathematics, the Smith conjecture states that if f is a diffeomorphism of the 3-sphere of finite order, then the fixed point set of f cannot be a nontrivial knot. Paul A. Smith (1939, remark after theorem 4) showed that a non-trivial orientation-preserving diffeomorphism of finite order with fixed points must have a fixed point set equal to a circle, and asked in if the fixed point set could be knotted. Friedhelm Waldhausen (1969) proved the Smith conjecture for the special case of diffeomorp
brand slug:
wiki
category slug:
encyclopedia
description:
The fixed point set of a finite-order 3-sphere diffeomorphism can't be a non-trivial knot
original url:
https://en.wikipedia.org/wiki/Smith_conjecture
date created:
date modified:
2023-01-30T07:09:13Z
main entity:
{"identifier":"Q7545379","url":"https://www.wikidata.org/entity/Q7545379"}
image:
fields total:
13
integrity:
14