A Urysohn lemma for regular spaces

Ankit Gupta

https://orcid.org/0000-0003-0760-4467

India

University of Delhi

Department of Mathematics, Bharati College

Ratna Dev Sarma

https://orcid.org/0000-0002-4181-3732

India

University of Delhi

Department of Mathematics, Rajdhani College

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Accepted: 2022-05-05

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Published: 2022-10-03

DOI: https://doi.org/10.4995/agt.2022.16720
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Keywords:

regularity, normality, M-normality, M-regularity, Urysohn lemma

Supporting agencies:

This research was not funded

Abstract:

Using the concept of m-open sets, M-regularity and M-normality are introduced and investigated. Both these notions are closed under arbitrary product. M-normal spaces are found to satisfy a result similar to Urysohn lemma. It is shown that closed sets can be separated by m-continuous functions in a regular space.

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