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\( \omega \)-topology and \(\alpha \)-topology. (English) Zbl 1474.54002

Summary: 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.

MSC:

54A05 Topological spaces and generalizations (closure spaces, etc.)
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References:

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