Abstract

𝜶𝒈−𝑵𝒐𝒓𝒎𝒂𝒍 Spaces and 𝜶𝒈−𝑹𝒆𝒈𝒖𝒍𝒂𝒓 Spaces

P. Sunitha1 and Y. Palaniappan2

1Assistant Professor, PG Department of Mathematics, Arignar Anna Govt Arts College, Musiri, Tamil Nadu, India. 2Associate Professor (Rtd), PG Department of Mathematics, Arignar Anna Govt Arts College, Musiri, Tamil Nadu, INDIA.

ABSTRACT

The aim of this paper is to introduce and study some normal and regular spaces using 𝛼𝑔−𝑜𝑝𝑒𝑛 sets, 𝑔𝑝−𝑜𝑝𝑒𝑛 sets, 𝑔∗−𝑐𝑙𝑜𝑠𝑒𝑑 sets. We investigate some of the basic properties of these spaces. We also study the effect of some functions on these spaces. Mathematics Subject Classification (2010) : 54A05, 54B05, 54D10.

Keywords :αg−open sets, gp−open sets, g∗−closed sets, g∗−irresolute, αg−irresolute.

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