On generalized open sets
Authors : Sabir Hussain
Pages : 1438-1446
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Publication Date : 2018-12-12
Article Type : Research
Abstract :We introduce and explore generalized open sets namely $\gamma$-pre-open and $\gamma$-b-open sets in topological spaces. We also explore and investigate the properties and characterizations of $\gamma$-b-continuous function, $\gamma$-b-irresolute function and $\gamma$-b-open(closed) functions. Examples and counter examples are also provided for the existence of defined concepts.Keywords : $gamma$-open(closed), $gamma$-interior(closure), $gamma$-semi-open(closed), $gamma$-semi-closure(interior), $gamma$-pre-open(closed), $gamma$-b-open(closed), $gamma$-b-continuous function, $gamma$-b-irresolute function, $gamma$-b-open(closed) function