On I-convergence of nets in locally solid Riesz spaces

Das P., Savas E.

Filomat, cilt.27, sa.1, ss.89-94, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.2298/fil1301089d
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.89-94
  • Anahtar Kelimeler: Filter, It-boundedness, It-Cauchy condition, It-convergence, Ideal, Nets
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper, following the line of [13] and [6], we introduce the ideas of Iττ-convergence, Iτ- boundedness and Iτ-Cauchy condition of nets in a locally solid Riesz space endowed with a topology τ and investigate some of its consequences.