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This article is cited in 3 scientific papers (total in 3 papers)
On generalized $B^*$-continuity, $B^*$-coverings and $B^*$-separations
P. Jain, C. Basu, V. Panwar Department of Mathematics,
South Asian University,
Akbar Bhawan, Chanakya Puri, New Delhi-110021, India
Abstract:
There are various generalizations of continuous functions in topological spaces and $B^*$-continuity is one of them which deals with the Baire property and denseness of the space. We have defined and discussed several properties and interrelations of some further generalizations of $B^*$-continuity, namely, contra $B^*$-continuity, slight $B^*$-continuity and weak $B^*$-continuity. We have also defined certain notions of generalized coverings and separations in terms of $B^*$-sets and studied the effect of generalized $B^*$-continuous functions on spaces having these covering and separation properties.
Keywords and phrases:
contra $B^*$-continuity, slight $B^*$-continuity, $B^*$-Hausdorff, $B^*$-normal, $B^*$-compact.
Received: 12.12.2018
Citation:
P. Jain, C. Basu, V. Panwar, “On generalized $B^*$-continuity, $B^*$-coverings and $B^*$-separations”, Eurasian Math. J., 10:3 (2019), 28–39
Linking options:
https://www.mathnet.ru/eng/emj336 https://www.mathnet.ru/eng/emj/v10/i3/p28
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Abstract page: | 188 | Full-text PDF : | 65 | References: | 21 |
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