ON THE TOPOLOGY GENERATED BY SEMI-REGULAR SETS

DLASKA K., ERGUN N., GANSTER M.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, vol.25, no.11, pp.1163-1170, 1994 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 11
  • Publication Date: 1994
  • Journal Name: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Page Numbers: pp.1163-1170
  • Istanbul University Affiliated: No

Abstract

In this paper we study compactness properties of spaces whose topologies are generated by the family of semi-open sets or the family of semi-regular sets of a given topological space (X, tau). In addition, we obtain characterizations of extremally disconnected spaces and show that the concepts of semi-compactness and semi-countable compactness coincide. We also prove that the family of semi-regular sets of a space constitutes a topology iff the corresponding semi-regularization space is locally indiscrete.