ON THE TIETZE EXTENSION THEOREM IN SOFT TOPOLOGICAL SPACE

Aras C. G., Bayramov S.

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, vol.43, no.1, pp.105-115, 2017 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 1
  • Publication Date: 2017
  • Journal Name: PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.105-115
  • Keywords: soft set, soft completely space, soft normal space, Urysohn lemma and Tietze extension theorem, FUZZY-SETS, MODULES
  • Kocaeli University Affiliated: Yes

Abstract

The theory of soft set was introduced by Molodtsov in 1999 as a new mathematical tool for deal with uncertainties. The idea of soft topological space was first given by Shabir and Naz. The purpose of this paper is to give Uryshon's Lemma and prove the Tietze Extension Theorem using this lemma in the so-called "soft topological space".