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Definitions of compactness and the axiom of choice

Published:2002-03 Issue:1 Volume:67 Page:143-161
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Cruz Omar De La,Hall Eric,Howard Paul,Rubin Jean E.,Stanley Adrienne

Abstract

AbstractWe study the relationships between definitions of compactness in topological spaces and the roll the axiom of choice plays in these relationships.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference22 articles.

1. �ber die Metrisation der kompakten topologischen R�ume

2. Über die topologische Erweiterung von Räumen

3. The axiom of choice for linearly ordered families

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1. Products of some special compact spaces and restricted forms of AC;The Journal of Symbolic Logic;2010-09

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3. On first and second countable spaces and the axiom of choice;Topology and its Applications;2004-08

4. Fixed set theory for closed correspondences with applications to self-similarity and games;Nonlinear Analysis: Theory, Methods & Applications;2004-02

5. Products of compact spaces and the axiom of choice II;MLQ;2003-01

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