On generalized B*-continuity, B*-coverings and B*-separations

Pankaj Jain, Chandrani Basu, Vivek Panwar

2019

Full text Open access: Gold Metadata (CSL-JSON)
DOI 10.32523/2077-9879-2019-10-3-28-39
Data confidence 70 medium
How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

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.