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.
@article{EMJ_2019_10_3_a2,
author = {P. Jain and C. Basu and V. Panwar},
title = {On generalized $B^*$-continuity, $B^*$-coverings and $B^*$-separations},
journal = {Eurasian mathematical journal},
pages = {28--39},
publisher = {mathdoc},
volume = {10},
number = {3},
year = {2019},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EMJ_2019_10_3_a2/}
}
TY - JOUR AU - P. Jain AU - C. Basu AU - V. Panwar TI - On generalized $B^*$-continuity, $B^*$-coverings and $B^*$-separations JO - Eurasian mathematical journal PY - 2019 SP - 28 EP - 39 VL - 10 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/EMJ_2019_10_3_a2/ LA - en ID - EMJ_2019_10_3_a2 ER -
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/