On generalized $B^*$-continuity, $B^*$-coverings and $B^*$-separations
Eurasian mathematical journal, Tome 10 (2019) no. 3, pp. 28-39

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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.
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     title = {On generalized $B^*$-continuity, $B^*$-coverings and $B^*$-separations},
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P. Jain; C. Basu; V. Panwar. On generalized $B^*$-continuity, $B^*$-coverings and $B^*$-separations. Eurasian mathematical journal, Tome 10 (2019) no. 3, pp. 28-39. http://geodesic.mathdoc.fr/item/EMJ_2019_10_3_a2/