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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

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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