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・ Perfect World (Eiko Shimamiya album)
・ Perfect World (Gossip song)
・ Perfect World (Huey Lewis and the News song)
・ Perfect World (Marcella Detroit song)
・ Perfect World (Perfect World album)
・ Perfect World (sitcom)
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・ Perfect World Entertainment
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・ Perfectae Caritatis
・ Perfect Man
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Perfect map
・ Perfect market
・ Perfect Master
・ Perfect Master (Meher Baba)
・ Perfect Match
・ Perfect Match (1989 film)
・ Perfect Match (1994 game show)
・ Perfect Match (2015 film)
・ Perfect Match (Australian game show)
・ Perfect Match (novel)
・ Perfect Match (U.S. game show)
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・ Perfect matrix
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Perfect map : ウィキペディア英語版
Perfect map
In mathematics, especially topology, a perfect map is a particular kind of continuous function between topological spaces. Perfect maps are weaker than homeomorphisms, but strong enough to preserve some topological properties such as local compactness that are not always preserved by continuous maps.
==Formal definition==

Let ''X'' and ''Y'' be topological spaces and let ''p'' be a map from ''X'' to ''Y'' that is continuous, closed, surjective and such that ''p'' −1(''y'') is compact relative to ''X'' for each ''y ''in ''Y''. Then ''p'' is known as a perfect map.

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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