Abstract

In topology and its related fields of mathematics, there are many limitations or restrictions on the classes of topological spaces that one desire to regard. Some of these limitations or restrictions are given by the separation axioms. In this paper, we study and analyze the pre-$\gamma$-separation axioms in fuzzy topological spaces. Also we introduce notions of pre-$\gamma$-homeomorphism and pre$^*$-$\gamma$-homeomorphism in fuzzy topological spaces. Further, we prove some fundamental properties and theorems of these separation axioms in fuzzy settings.

Keywords and Phrases

Fuzzy pre- $\gamma$ - homeomorphism, Fuzzy pre$^*$ - $\gamma$ - homeomorphism, Fuzzy pre$^*$-$\gamma$-continuous, Fuzzy pre-$\gamma$-separation axioms.

A.M.S. subject classification

54A40, 54D10, 54D15.

.....