Countability and Separability in Tritopological Spaces ( δ*-Countability and δ*-Separability)

Abstract

In this paper, we will continue the basic specifications of Tritopological spaces begun by author. Furthermore, we introduce the new concepts and definitions of Countability and Separability in Tritopological spaces namely -Countability and -Separability. The properties for them are established. Also we introduce some definitions, theorems, examples and obtained some results.

Keywords: -First Countable space, -second Countable space, -separable space, Tritopological property, -dense, -local base, -base, -homeomorphism, -adherent point, -open set, Tritopological space.