A Urysohn lemma for regular spaces

Ankit Gupta; Ratna Dev Sarma

doi:10.4995/agt.2022.16720

Authors

Ankit Gupta University of Delhi https://orcid.org/0000-0003-0760-4467
Ratna Dev Sarma University of Delhi https://orcid.org/0000-0002-4181-3732

DOI:

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

Keywords:

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

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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Author Biographies

Ankit Gupta, University of Delhi

Department of Mathematics, Bharati College

Ratna Dev Sarma, University of Delhi

Department of Mathematics, Rajdhani College

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