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On minimal sets and strictly weaker topologies

Authors
Journal
Journal of the Egyptian Mathematical Society
1110-256X
Publisher
Elsevier
Volume
19
Issue
3
Identifiers
DOI: 10.1016/j.joems.2011.10.004
Keywords
  • Ultratopologies
  • Principal And Nonprincipal Topologies
  • Minimal Open Sets
  • T0
  • T1
  • Regular Topologies
Disciplines
  • Mathematics

Abstract

Abstract In [1,2] Farrag characterized the stirictly weaker principal topologies than any given principal topology on a nonempty set by using the minimal open sets which are defined by Steiner [3]. This paper mainly generalizes this result by using the minimal sets, which are defined in the paper with respect to the given topology τ on a nonempty set.

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