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Connection Properties in Nearness Spaces

Published online by Cambridge University Press:  20 November 2018

D. Baboolal ,
H. L. Bentley  and
R. G. Ori
D. Baboolal
Affiliation:
Department of Mathematics, University of Durban-WestvillePrivate Bag X54001 Durban 4000, South Africa
H. L. Bentley
Affiliation:
Department of Mathematics, University of Durban-WestvillePrivate Bag X54001 Durban 4000, South Africa
R. G. Ori
Affiliation:
Department of Mathematics, University of Durban-WestvillePrivate Bag X54001 Durban 4000, South Africa Department of Mathematics, University of ToledoToledo, Ohio 43606 U.S.A.
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Abstract

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We prove that a topological space X has a locally connected regular T1, extension if and only if X is the underlying topological space of a nearness space Y which is concrete, regular and uniformly locally uniformly connected.

Keywords

54E1554D1554A0554E9918A40
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 2 , 01 June 1985 , pp. 212 - 217
Copyright
Copyright © Canadian Mathematical Society 1985

References

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