Volume no :41, Issue no: 1, September 2016

WEAKLY (REGULAR)O AND NOT-REGULAR PROPERTIES, AND EQUIVALENT SEPARATION AXIOMS

Author's: Charles Dorsett
Pages: [35] - [43]
Received Date: August 25, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121708

Abstract

In a recent paper, a new category of topological properties called weakly Po properties were introduced and investigated. The search for a topological property that failed to be a weakly Po property led to the use of within that paper, and the investigation of other “not-separation axioms” and other weakly Po properties in follow up papers. Within this paper, the study of weakly Po properties and “not-separation axioms” continues with the regular separation axiom and it is established that for regular spaces, Urysohn, and are equivalent.

Keywords

spaces, weakly P properties, regular, “not-regular”.