Epiregular topological spaces

A topological space ( X , τ ) is called epiregular if there is a coarser topology τ ′ on X such that ( X , τ ′ ) is T 3 . We investigate this property and present some examples to illustrate the relationships between epiregular, epinormal, submetrizable, semiregular and almost regular.

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Bibliographic Details
Published in:Afrika mathematica 2018-09, Vol.29 (5-6), p.803-808
Main Author: AlZahrani, Samirah A.
Format: Article
Language:English
Subjects:
Applications of Mathematics
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Mathematics Education
Topology
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Description
Summary:A topological space ( X , τ ) is called epiregular if there is a coarser topology τ ′ on X such that ( X , τ ′ ) is T 3 . We investigate this property and present some examples to illustrate the relationships between epiregular, epinormal, submetrizable, semiregular and almost regular.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-018-0577-1