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| 	Mumford's compactness theorem  : ウィキペディア英語版 |   Mumford's compactness theorem In mathematics, Mumford's compactness theorem states that the space of compact Riemann surfaces of fixed genus ''g'' > 1 with no closed geodesics of length less than some fixed ''ε'' > 0 in the Poincaré metric is compact. It was proved by  as a consequence of a  theorem about the compactness of sets of discrete subgroups of semisimple Lie groups generalizing Mahler's compactness theorem. ==References==
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  抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Mumford's compactness theorem」の詳細全文を読む
 
 
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