| 词条 | Federer–Morse theorem |
| 释义 |
In mathematics, the Federer–Morse theorem, introduced by {{harvs|txt|author2-link=Anthony Morse|last2=Morse|author1-link=Herbert Federer|last1=Federer|year=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.[1] See also
References1. ^{{Cite book|author=Raymond C. Fabec|title=Fundamentals of Infinite Dimensional Representation Theory|date=28 June 2000|publisher=CRC Press|isbn=978-1-58488-212-1|page=12}}
Further reading
1 : Theorems in topology |
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