ON ω^c-SETS AND ω-SETS IN TOPOLOGICAL SPACES

  • AJOY MUKHARJEE
    Department of Mathematics, Bankura University, Bankura, W. Bengal- 722 155, INDIA
    ajoyjee@gmail.com

Abstract

In this paper we introduce and study the notion of ω^c-set. We also study ω-sets, as complements of ω^c-sets. Finally, using the ω^c-sets and ω-sets of a topological space, we introduce and study the notion of ω-extremally disconnected topological spaces. We obtain a result akin to Urysohn’s Lemma in the setting of ω-extremally disconnected top-ological spaces.

Cuvinte cheie

Semi-open Pre-open ω^c-set ω-set ω-extremally disconnected