Abstract

The aim of this paper is to introduce and investigate the new notions called b-$\omega_\alpha$-open sets, $\alpha$-$\omega_\alpha$-open sets and pre-$\omega_\alpha$-open sets which are weaker than $\omega$-open sets. Moreover decompositions of continuity are obtained by using these new notions.

Keywords and Phrases

$\alpha$-$\omega_\alpha$-open set, $\omega$-closed set, semi-open set, $\omega$-open set.

A.M.S. subject classification

26D05, 26D07.

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