∆-normal spaces and decompositions of normality


  • Ananga Kumar Das Shri Mata Vaishno Devi University




δ-open sets, δ-closed sets (Weakly) (functionally) θ-normal spaces, (weakly) (functionally) ∆-normal spaces, θ-regular spaces, seminormalspaces


Generalizations of normality, called (weakly) (functionally) ∆-normal spaces are introduced and their interrelation with some existing notions of normality is studied. ∆-regular spaces are introduced which is a generalization of seminormal, semiregular and θ-regular space. This leads to decompositions of normality in terms of ∆-regularity, seminormality and variants of ∆-normality.


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Author Biography

Ananga Kumar Das, Shri Mata Vaishno Devi University

School of Applied Physics and Mathematics


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How to Cite

A. K. Das, “∆-normal spaces and decompositions of normality”, Appl. Gen. Topol., vol. 10, no. 2, pp. 197–206, Sep. 2013.



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