Timeline for Classes of (non-continuous) functions with the fixed point property

12 events

when toggle format	what		by	license	comment
Aug 15, 2023 at 8:53	comment	added	Pietro Majer		If $h:K\to K$ is bijective and $f:K\to K$ has fixed points, so does $h\circ f \circ h^{-1}$. Non continuous bijection may still be reasonable objects to work with, but I have no idea about how to prove that a given $g:K\to K$ is conjugated to a continuous $f$.
Jun 15, 2020 at 7:27	history	edited	CommunityBot		Commonmark migration
Apr 13, 2017 at 12:58	history	edited	CommunityBot		replaced http://mathoverflow.net/ with https://mathoverflow.net/
Dec 1, 2013 at 1:26	history	edited	Gil Kalai	CC BY-SA 3.0	added 17 characters in body
Nov 18, 2013 at 1:39	history	edited	Gil Kalai	CC BY-SA 3.0	added 112 characters in body
S Nov 13, 2013 at 14:16	history	bounty ended	CommunityBot
S Nov 13, 2013 at 14:16	history	notice removed	CommunityBot
Nov 10, 2013 at 22:49	comment	added	domotorp		Another class comes from defining a complete lattice on K and taking a function that is monotone w/r/t this lattice. This has a fixed point as shown by the Knaster–Tarski theorem. Many functions can be obtained this way, but e.g. rotations cannot be.
Nov 9, 2013 at 13:39	history	edited	Gil Kalai		tag added
S Nov 5, 2013 at 12:39	history	bounty started	Gil Kalai
S Nov 5, 2013 at 12:39	history	notice added	Gil Kalai		Draw attention
Jul 6, 2013 at 18:46	history	asked	Gil Kalai	CC BY-SA 3.0