A Urysohn lemma for regular spaces

• Gupta, Ankit ^[1] ; Sarma, Ratna Dev ^[1]
  1. [1] University of Delhi

     University of Delhi

     India

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 23, Nº. 2, 2022, págs. 243-253
• Idioma: inglés
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• Resumen

  • 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.