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The regularity series of a convergence space II

Published online by Cambridge University Press:  17 April 2009

D.C. Kent  and
G.D. Richardson
D.C. Kent
Affiliation:
Department of Mathematics, Washington State University, Pullman, Washington, USA;
G.D. Richardson
Affiliation:
Department of Mathematics, East Carolina University, Greenville, North Carolina, USA.
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Abstract

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This study is a continuation of an earlier paper on the regularity series of a convergence space. The notions of a R-Hausdorff series and the T3-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 studying T3-compactifications. Several examples are given; one being a Hausdorff convergence space with an arbitrarily large regularity series.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 15 , Issue 2 , October 1976 , pp. 223 - 243
Copyright
Copyright © Australian Mathematical Society 1976

References

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