On I-convergence of nets in locally solid Riesz spaces

Das P., Savas E.

Filomat, vol.27, no.1, pp.89-94, 2013 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 1
  • Publication Date: 2013
  • Doi Number: 10.2298/fil1301089d
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.89-94
  • Keywords: Filter, It-boundedness, It-Cauchy condition, It-convergence, Ideal, Nets
  • Uşak University Affiliated: No

Abstract

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.