![]() | This article provides insufficient context for those unfamiliar with the subject.(March 2017) |
In mathematics, the FedererâMorse 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. [1] Moreover, the inverse of that restriction is a Borel section of fâit is a Borel isomorphism. [2]
![]() | This article provides insufficient context for those unfamiliar with the subject.(March 2017) |
In mathematics, the FedererâMorse 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. [1] Moreover, the inverse of that restriction is a Borel section of fâit is a Borel isomorphism. [2]