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Factorizations of normality via generalizations of $β$ -normality

Ananga Kumar Das; Pratibha Bhat; Ria Gupta — 2016

Mathematica Bohemica

The notion of $β$ -normality was introduced and studied by Arhangel’skii, Ludwig in 2001. Recently, almost $β$ -normal spaces, which is a simultaneous generalization of $β$ -normal and almost normal spaces, were introduced by Das, Bhat and Tartir. We introduce a new generalization of normality, namely weak $β$ -normality, in terms of $θ$ -closed sets, which turns out to be a simultaneous generalization of $β$ -normality and $θ$ -normality. A space $X$ is said to be weakly $β$ -normal (w $β$ -normal $)$ if for every pair of disjoint...

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Factorizations of normality via generalizations of β -normality

Factorizations of normality via generalizations of $β$ -normality