ON OPERATION APPROACHES OF α-OPEN SETS AND SEMI-OPEN SETS

HARUO MAKI; MOHAMMED A.M. ABDEL KARIM; AKIHIRO NISHI; HAYAO OGATA

doi:10.32219/isms.73.1_1

HARUO MAKI, MOHAMMED A.M. ABDEL KARIM, AKIHIRO NISHI, HAYAO OGATA

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Keywords: α-open sets, semi-open sets, operation open sets, operation α-open sets, operation semi-open sets, α-closures, semi-closures

JOURNAL FREE ACCESS

2011 Volume 73 Issue 1 Pages 1-10

DOI https://doi.org/10.32219/isms.73.1_1

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Abstract

The aim of the present paper is to introduce and study the concept of operation-α-open sets, operation-semi-open sets and some operation-closures by using operations from SO(X, τ) into P(X). We obtain some operation-closure formulas. As corollaries, well known formulas on α-closures and semi-closures are obtained.

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