Abstract
In many papers, new classes of sets had been studied in topological space, then the notion of continuity between any two topological spaces (a function from X to Y is continuous if the inverse image of each open set of Y is open in X) is studied via this new classes of sets. Here the authors also introduce new classes of sets called pj-b-preopen, pj-b-B set, pj-b-t set, pj-b-semi-open and pj-sb-generalized closed set in bitopological space [1] which is a set with two topologies defined on it, then they study the notion of continuity via this set and introduce some of the theories which are studying the decomposition of continuity via this set in bitopological space.
Highlights
Introduction and PreliminariesIn topological space, there are many classes of generalized open sets given by [2] [3] [4] [5]
New classes of sets had been studied in topological space, the notion of continuity between any two topological spaces is studied via this new classes of sets
The authors introduce new classes of sets called pj-b-preopen, pj-b-B set, pj-b-t set, pj-b-semi-open and pj-sb-generalized closed set in bitopological space [1] which is a set with two topologies defined on it, they study the notion of continuity via this set and introduce some of the theories which are studying the decomposition of continuity via this set in bitopological space
Summary
Introduction and PreliminariesIn topological space, there are many classes of generalized open sets given by [2] [3] [4] [5]. Keywords pj-b-Preopen, pj-b-Semiopen, pj-b-t Set, pj-b-B Set, pj-sb-Generalized Closed, Bitopological Space We introduce decomposition of continuity in bitopological space via new classes of sets called pj-b-preopen, pj-b-B set, pj-b-t set, pj-b-semi-open and pj-sb-generalized closed set with some theories, examples and results.
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