Английская Википедия:Federer–Morse theorem
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Шаблон:Short description Шаблон:Distinguish
Шаблон:Context In mathematics, the Federer–Morse theorem, introduced by Шаблон:Harvs, 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 f—it is a Borel isomorphism.[2]
See also
References
Further reading
- L. W. Baggett and Arlan Ramsay, A Functional Analytic Proof of a Selection Lemma, Can. J. Math., vol. XXXII, no 2, 1980, pp. 441–448.
- ↑ Section 4 of Шаблон:Harvs.
- ↑ Page 12 of Шаблон:Harvs
