Unsymmetric T-0-quasi-metrics

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

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 279
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1016/j.topol.2020.107249
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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).