Federer–Morse theorem
id:
federer-morse-theorem-199-10387185
title:
Federer–Morse theorem
text:
In mathematics, the Federer–Morse theorem, introduced by Federer and Morse (1943), states that if f is a surjective continuous map from a compact metric space X to a compact metric space Y, then there is a Borel subset Z of X such that f restricted to Z is a bijection from Z to Y.
Moreover, the inverse of that restriction is a Borel section of f—it is a Borel isomorphism.
brand slug:
wiki
category slug:
encyclopedia
description:
On a property of surjective continuous maps between compact metric spaces
original url:
https://en.wikipedia.org/wiki/Federer%E2%80%93Morse_theorem
date created:
date modified:
2021-12-13T06:38:02Z
main entity:
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image:
fields total:
13
integrity:
14