Separated map: Difference between revisions

Revision as of 21:36, 13 January 2008

This article defines a property of continuous maps between topological spaces

A continuous map $f:X\to Y$ of topological spaces is termed a separated map if the diagonal map $X\to X\times _{f}X$ is a closed map.

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	==Definition==		==Definition==

	A [[continuous map]] <math>f: X \~~times~~ Y</math> of [[topological space]]s is termed a '''separated map''' if the diagonal map <math>X \to X \times_f X</math> is a [[closed map]].		A [[continuous map]] <math>f: X \to Y</math> of [[topological space]]s is termed a '''separated map''' if the diagonal map <math>X \to X \times_f X</math> is a [[closed map]].