Some variants of normality in relative topological spaces
Filomat, Tome 36 (2022) no. 12, p. 4241
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With each topological property P one can associate a relative version of it formulated in terms of the location of Y in X in such a natural way that when Y coincides with X, then this relative property coincides with P. Arhangel'skii and Genedi introduced this concept of relative topological properties in 1989. The concept of mild normality or κ-normality was introduced independently by Singal and Singal in 1973 and ˘ S˘ cepin in 1972. A few years earlier in 1969, Singal and Arya studied the concept of almost normality. V. Za ˘ icev in 1968 introduced the concept of quasi normal spaces while π-normality was studied by Kalantan in 2008. In this paper we study these variants of normality in a relative sense.
Classification :
54D15
Keywords: Normal, strongly normal, κ-normal, almost normal, π-normal, quasi normal, almost regular
Keywords: Normal, strongly normal, κ-normal, almost normal, π-normal, quasi normal, almost regular
Sehar Shakeel Raina; A K Das. Some variants of normality in relative topological spaces. Filomat, Tome 36 (2022) no. 12, p. 4241 . doi: 10.2298/FIL2212241R
@article{10_2298_FIL2212241R,
author = {Sehar Shakeel Raina and A K Das},
title = {Some variants of normality in relative topological spaces},
journal = {Filomat},
pages = {4241 },
year = {2022},
volume = {36},
number = {12},
doi = {10.2298/FIL2212241R},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2212241R/}
}
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