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Federer–Morse theorem : ウィキペディア英語版 | Federer–Morse theorem
In mathematics, the Federer–Morse theorem, introduced by , 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''. ==See also==
* Uniformization
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