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1999 A categorical guide to separation, compactness and perfectness
Walter Tholen
Homology Homotopy Appl. 1(1): 147-161 (1999).

Abstract

Based on a rather arbitrary class of morphisms in a category, which play the role of "closed maps", we present a general approach to separation and compactness, both at the object and the morphism levels. It covers essential parts of the classical topological theory, generalizes various previous categorical treatments of the theme, and allows for a number of less expected applications outside topology.

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Walter Tholen. "A categorical guide to separation, compactness and perfectness." Homology Homotopy Appl. 1 (1) 147 - 161, 1999.

Information

Published: 1999
First available in Project Euclid: 13 February 2006

zbMATH: 0924.18003
MathSciNet: MR1796416

Subjects:
Primary: 18A20
Secondary: 18A32 , 54B30 , 54D30

Rights: Copyright © 1999 International Press of Boston

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Vol.1 • No. 1 • 1999
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