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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.

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Correspondence to Samirah A. AlZahrani.

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AlZahrani, S.A. Epiregular topological spaces. Afr. Mat. 29, 803–808 (2018). https://doi.org/10.1007/s13370-018-0577-1

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  • DOI: https://doi.org/10.1007/s13370-018-0577-1

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