A NEW APPROACH TO SEPARABILITY AND COMPACTNESS IN SOFT TOPOLOGICAL SPACES

Bayramov S., Aras Ç.

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.9, no.1, pp.82-93, 2018 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 1
  • Publication Date: 2018
  • Journal Name: TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.82-93
  • Keywords: soft set, soft point, soft topology, soft interior point, soft separation axioms, soft compactness, FUZZY-SETS, MODULES
  • Kocaeli University Affiliated: Yes

Abstract

The concept of soft topological space was introduced by some authors. In the present paper, we investigate some basic notions of soft topological spaces by using new soft point concept. Later we give T-i-soft space and the relationships between them are discussed in detail. Finally, we define soft compactness and explore some of its important properties.