A Urysohn lemma for regular spaces
Keywords:regularity, normality, M-normality, M-regularity, Urysohn lemma
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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