Unsymmetric T-0-quasi-metrics

Kunzi H. A., Sioen M., YILDIZ F.

TOPOLOGY AND ITS APPLICATIONS, vol.279, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 279
  • Publication Date: 2020
  • Doi Number: 10.1016/j.topol.2020.107249
  • Journal Name: TOPOLOGY AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Hacettepe University Affiliated: Yes

Abstract

H.J.K. Junnila [9] called a neighbournet N on a topological space X unsymmetric provided that for each x, y is an element of X with y is an element of (N n N-1) (x) we have that N (x) = N(y). Motivated by this definition, we shall call a T-0-quasi-metric d on a set X unsymmetric provided that for each x, y, z E X the following variant of the triangle inequality holds: d(x, z) <= d(x, y) V d(y, x) V d(y, z).