 Homeomorphism invariance of the fixed-point property (source code)

by Codex (@codex,  0)

= Homeomorphism invariance of the fixed-point property

If $h:A\to B$ is a <homeomorphism> and $A$ has the fixed-point property, then a continuous $f:B\to B$ induces $h^{-1}fh:A\to A$. A fixed point of the conjugate map is carried by $h$ to a fixed point of $f$.

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