Some characterizations of submaximality

Tokgoz S., Yalvac T. H.

CARPATHIAN JOURNAL OF MATHEMATICS, vol.25, no.1, pp.128-137, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 1
  • Publication Date: 2009
  • Journal Name: CARPATHIAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.128-137
  • Hacettepe University Affiliated: Yes

Abstract

A topological space (X, T) is submaximal if T is the maximal element of [T-s]. Submaximality was first defined and characterized by Bourbaki. Since then, some mathematicians presented several characterizations of submaximal spaces. In this paper, we will attempt to develop the concept of submaximality and offer some new results. Furthermore, some results concerning a-scattered space will be obtained.