L-Fuzzifying topologies as L-topologies

  • Authors:
  • Dexue Zhang

  • Affiliations:
  • Department of Mathematics, Sichuan University, Sichuan, Chengdu 610064, People's Republic of China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2002

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Abstract

It is proved in this paper that for every completely distributive lattice L with a locally multiplicative way below relation the category of L-fuzzifying topological spaces can be embedded in the category of L-topological spaces (stratified Chang-Goguen topological spaces) as a simultaneously bireflective and bicoreflective full subcategory. Several equivalent descriptions of this subcategory are given.