A Note on Separation Axioms Weaker than T1

Weaker Axioms, More Ranges

In the family of many-valued modal languages proposed by M. Fitting in 1992, every modal language is based on an underlying Heyting algebra which provides the space of truth values. The lattice of truth values is explicitly represented in the language by a set of special constants and this allows for forming weak, generalized, many-valued analogs of all classical modal axioms. Weak axioms of th...

On bD-Sets and Associated Separation Axioms

On rg - Separation Axioms

In this paper we define almost rg-normality and mild rg-normality, continue the study of further properties of rgnormality. We show that these three axioms are regular open hereditary. Also define the class of almost rg-irresolute mappings and show that rg-normality is invariant under almost rg-irresolute M-rg-open continuous surjection. AMS Subject Classification: 54D15, 54D10.

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

More on rgα−Separation Axioms

In this paper by using rgα−open sets I define almost rgα−normality and mild rgα−normality also we continue the study of further properties of rgα−normality. We show that these three axioms are regular open hereditary. I also define the class of almost rgα−irresolute mappings and show that rgα−normality is invariant under almost rgα−irresolute M-rgα−open continuous surjection.