ON SEPARATION AXIOMS IN TOPOLGICAL SPACES

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

BASE AXIOMS AND SUBBASE AXIOMS IN M-FUZZIFYING CONVEX SPACES

Based on a completely distributive lattice $M$, base axioms and subbase axioms are introduced in $M$-fuzzifying convex spaces. It is shown that a mapping $mathscr{B}$ (resp. $varphi$) with the base axioms (resp. subbase axioms) can induce a unique $M$-fuzzifying convex structure with  $mathscr{B}$ (resp. $varphi$) as its base (resp. subbase). As applications, it is proved that bases and subbase...