PlanetMath: proper map

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proper map

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Definition Suppose and are topological spaces, and is a map $f:X\to Y$ . Then is a proper map if the inverse image of every compact subset in of is a compact set in .

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"proper map" is owned by matte. [ full author list (2) | owner history (2) ]

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Cross-references: compact set, compact subset, inverse image, map, topological spaces
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This is version 2 of proper map, born on 2003-10-15, modified 2003-10-28.
Object id is 4801, canonical name is ProperMap.
Accessed 2946 times total.

Classification:

AMS MSC:	54-00 (General topology :: General reference works )
	54C10 (General topology :: Maps and general types of spaces defined by maps :: Special maps on topological spaces )

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