Proper map

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This article defines a property of continuous maps between topological spaces

Definition

Symbol-free definition

A continuous map of topological spaces is termed a proper map if it is closed and the inverse image of any compact subset in the image set, is a compact subset of the domain. Equivalently, it is a closed map and the inverse image of any point is a compact subset of the domain.

Relation with other properties

Stronger properties

Related properties