αg-γ-REGULAR AND αg-γ-NORMAL SPACES

J J Mershia Rabuni; N Balamani

doi:10.56827/SEAJMMS.2023.1901.30

J J Mershia Rabuni Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore - 641043, Tamil Nadu, INDIA
N Balamani Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore - 641043, Tamil Nadu, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2023.1901.30

Keywords: Topological space, αgγ-open sets, separation axioms, αg-γ-regular, αg-γ-normal.

Abstract

In topology, separation axioms is used to measure how close a topological space is to being metrizable. Spaces that fulfil the axioms are regarded to be nearer to being metrizable than those that do not. In this paper, we introduce new axioms namely αg-γ- regular and αg-γ-normal and analyze their properties in topological spaces. We compare αg-γ- regularity with regularity and αg-γ-normal with normality . Also we obtain the relations between the newly defined spaces and αgγ-Ti ′ (i = 0, 1, 2) spaces.