Almost $\tilde g_\alpha$-closed functions and separation axioms

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.

On bD-Sets and Associated Separation Axioms

Soft semi separation axioms and some types of soft functions

Shabir and Naz in [25] introduced the notion of soft topological spaces. They defined basic notions of soft topological spaces such as open soft sets, closed soft sets, soft subspaces, soft closure, soft nbd of a soft point, soft separation axioms, soft regular spaces, soft normal spaces and they established their several properties. Min in [19] investigated some properties of such soft separat...

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

Splittability and Low Separation Axioms

The power and usefulness of cleavability (also known as splittability) have been well established within the framework of topology by A.V. Arhangel’skii and his associates. The concept was transferred to partially ordered sets by D.J. Marron and T.B.M. McMaster. The connections between topology and order are here exploited as we examine the properties enjoyed by a topological space that is spli...