Skip to main content
MathOverflow

Return to Answer

replaced http://mathoverflow.net/ with https://mathoverflow.net/
Source Link
Community Bot
Community Bot
  • 1

This questionThis question is a very nice topological one, a cousin of Brouwer's fixed point theorem and related to several questions in the literature:

Suppose that $f$ and $g$ are two commuting continuous mappings from the closed unit disk to itself. Does there always exist a point $x$ such that $f(x)=g(x)$?

This question is a very nice topological one, a cousin of Brouwer's fixed point theorem and related to several questions in the literature:

Suppose that $f$ and $g$ are two commuting continuous mappings from the closed unit disk to itself. Does there always exist a point $x$ such that $f(x)=g(x)$?

This question is a very nice topological one, a cousin of Brouwer's fixed point theorem and related to several questions in the literature:

Suppose that $f$ and $g$ are two commuting continuous mappings from the closed unit disk to itself. Does there always exist a point $x$ such that $f(x)=g(x)$?

Source Link
Benoît Kloeckner
Benoît Kloeckner
  • 14.4k
  • 15
  • 10

This question is a very nice topological one, a cousin of Brouwer's fixed point theorem and related to several questions in the literature:

Suppose that $f$ and $g$ are two commuting continuous mappings from the closed unit disk to itself. Does there always exist a point $x$ such that $f(x)=g(x)$?

Post Made Community Wiki by Benoît Kloeckner