Heredity of Lower Separation Axioms on Function Spaces

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

Higher Separation Axioms in Generalized Closure Spaces

The hierarchy of separation axioms that is familiar from topological spaces generalizes to spaces with an isotone and expansive closure function. Neither additivity nor idempotence of the closure function must be assumed.

Separation axioms in fuzzy bitopological spaces

In this paper, we give and study different types of separation axioms using the remoted neighbourhood of a fuzzy point and a fuzzy set in the fuzzy supratopological Spaces (X, s τ ) which is generated by the fuzzy bitopological space (X, 1 2 , τ τ ). Several properties on these separation axioms are researched.

On separation axioms in I-fuzzy topological spaces

In this note, we introduce the degree to which an I-fuzzy topological space (X, τ) is Sub T 1 (in short, ST 1), which we denote by ST 1 (X, τ) and proved that KT 1 (X, τ), defined by Yue and Fang and ST 1 (X, τ) are equal.

On bD-Sets and Associated Separation Axioms