Various Separation Axioms on -Closed Sets

On bD-Sets and Associated Separation Axioms

on bd-sets and associated separation axioms

A new form of weaker separation axioms via pgrα - closed sets ααpgppgrα - closed sets

The aim of this paper is to introduce and characterize pgrαregular spaces and pgrαnormal spaces via the concept of pgrαclosed sets. It also focuses on some of its basic properties and discusses on separation axioms between pgr-T0 and pgr-T1. An attempt has been made to make a comparative study with other usual separation axioms. Mathematics Subject Classification: 54C10, 54C08, 54C05

Some separation axioms via modified θ-open sets

Almost Gs-closed Functions and Separation Axioms

We introduce a new class of functions called almost gs-closed and use the functions to improve several preservation theorems of normality and regularity and also their generalizations. The main result of the paper is that normality and weak normality are preserved under almost gs-closed continuous surjections.