p-Topologicalness and p-regularity for lattice-valued convergence spaces

  • Authors:
  • Lingqiang Li;Qiu Jin

  • Affiliations:
  • -;-

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2014

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Abstract

In this paper, p-topologicalness and p-regularity for Jager@?s stratified L-generalized convergence spaces and those for Boustique et al.@?s stratified L-convergence spaces are studied through two different methods. One method generalizes the well-known Fischer@?s (dual) diagonal condition, the other method uses the (neighborhood) closure of stratified L-filter. In addition, the p-topologicalness and p-regularity w.r.t. initial constructions and final constructions are also discussed.