The regularity series of a convergence space II-Reference-Cited by-同舟云学术

The regularity series of a convergence space II

Published:1976-10 Issue:2 Volume:15 Page:223-243
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Kent D.C.,Richardson G.D.

Abstract

This study is a continuation of an earlier paper on the regularity series of a convergence space. The notions of aR-Hausdorff series and theT3-modification of a convergence space are introduced, and their relationship with the regularity series is studied. The concept of a symmetric space is shown to be useful in studyingT3-compactifications. Several examples are given; one being a Hausdorff convergence space with an arbitrarily large regularity series.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. Regular compactifications of convergence spaces

2. A Stone-Čech compactification for limit spaces;Richardson;Proc. Amer. Math. Soc.,1970

3. The decomposition series of a convergence space;Kent;Czechoslovak Math. J.,1973

4. Open and proper maps between convergence spaces;Kent;Czechoslovak Math. J.,1973

5. Zu den Beziehungen zwischenc-einbettbaren Limesr�umen und ihren limitierten Funktionenalgebren

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