Epiregular topological spaces

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Abstract

A topological space (X, \(\tau \)) is called epiregular if there is a coarser topology \(\tau \)\(^\prime \) on X such that (X, \(\tau \)\(^\prime )\) is \(T_3\). We investigate this property and present some examples to illustrate the relationships between epiregular, epinormal, submetrizable, semiregular and almost regular.

Keywords

Regular Epiregular Epinormal Semiregular Submetrizable Almost regular Regularly open Regularly closed 

Mathematics Subject Classification

54D15 54B10 

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Copyright information

© African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsTaif UniversityTaifSaudi Arabia

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