Closure operators in convergence spaces

Baran M.

ACTA MATHEMATICA HUNGARICA, vol.87, pp.33-45, 2000 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 87
  • Publication Date: 2000
  • Doi Number: 10.1023/a:1006768916033
  • Journal Name: ACTA MATHEMATICA HUNGARICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.33-45
  • Erciyes University Affiliated: Yes

Abstract

We define two closure operators of some well-known topological categories and investigate the relationships between these closure operators and the one that is given in [9]. As a consequence, we characterize separation properties To, T-1, and T-2 for these well-known categories and compare them with the ones that are given in [3] and [6]. Finally, we characterize the epimorphisms in the subcategories of these given categories.