Lebesgue and co-Lebesgue di-uniform texture spaces

Oezcag S.

TOPOLOGY AND ITS APPLICATIONS, cilt.156, sa.18, ss.3021-3028, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 156 Sayı: 18
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.topol.2009.01.021
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3021-3028
  • Hacettepe Üniversitesi Adresli: Evet

Özet

The author introduces the notions of Lebesgue di-uniformity and co Lebesgue di-uniformity and investigates the relationship between a Lebesgue quasi uniformity on X and the corresponding Lebesgue di-uniformity on the discrete texture (X, P(X)). Finally a notion of a dual dicovering Lebesgue quasi di-uniform texture space is introduced and several properties are discussed. (C) 2009 Elsevier B.V. All rights reserved.