On generalized open sets

Yıl 2018, Cilt: 47 Sayı: 6, 1438 - 1446, 12.12.2018

Sabir Hussain

Öz

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.

Anahtar Kelimeler

$\gamma$-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

Kaynakça

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