Pre-regular \(sp\)-open sets in topological spaces

P. Jeyanthi; P. Nalayini; T. Noiri

doi:10.4067/S0719-06462018000100031

DOI:

https://doi.org/10.4067/S0719-06462018000100031

Abstract

In this paper, a new class of generalized open sets in a topological space, called pre- regular sp-open sets, is introduced and studied. This class is contained in the class of semi-preclopen sets and cotains all pre-clopen sets. We obtain decompositions of regular open sets by using pre-regular sp-open sets.

Keywords

Generalized open sets , preopen , regular open , pre-regular sp-open , decompositions of complete continuity

P. Jeyanthi Research Centre, Department of Mathematics, Govindammal Aditanar College for Women, Tiruchendur-628 215, Tamil Nadu, India.
P. Nalayini Research Centre, Department of Mathematics, Govindammal Aditanar College for Women, Tiruchendur-628 215, Tamil Nadu, India.
T. Noiri Shiokita - cho, Hinagu, Yatsushiro - shi, Kuvempu University Kumamoto - ken, 869-5142 Japan.

Pages: 31–39
Date Published: 2018-10-19
Vol. 20 No. 1 (2018)

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