Revisiting di-uniformity and full-dinormality via dicovers


ÖZÇAĞ S., YILDIZ F.

QUAESTIONES MATHEMATICAE, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2989/16073606.2019.1580785
  • Dergi Adı: QUAESTIONES MATHEMATICAE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper, we define and study the notions of normal* and w-anchored dicovers as important classes of covers, convenient for the texture theory. Especially, a ditopological counterpart is given for the well-known result that in a completely regular topological space, the collection of all normal covers forms a uniformity compatible with the topology. In addition, we describe two kinds of dicovers called divisible and even, in order to characterize the largest di-uniformity on textures, as well as characterizing the full dinormality which is introduced by L.M. Brown and M. Diker (Paracompactness and full normality in ditopological texture spaces, J. Math. Annal. Appl. 227 (1998), 144-165).