A Unified theory for $R_0$;$R_1$ and certain other separation properties and their variant forms - doi: 10.5269/bspm.v28i2.10727

Bishwambhar Roy; M. N. Mukherjee

doi:10.5269/bspm.v28i2.10727

A Unified theory for $R_0$;$R_1$ and certain other separation properties and their variant forms - doi: 10.5269/bspm.v28i2.10727

Authors

Bishwambhar Roy Women's Christian College
M. N. Mukherjee University of Calcutta

DOI:

https://doi.org/10.5269/bspm.v28i2.10727

Keywords:

54A05, 54D10

Abstract

The purpose of this paper is towards working out a unified version of the study of certain separation axioms and their neibouring forms as are already available in literature.

We introduce a unified definitions of $R0$, $R_1$, $T_0$ and $T_1$ spaces and derive results concerning them from which many of the existing results follow as special cases