Regularity: lattice-valued Cauchy spaces

DOI10.1016/J.FSS.2011.08.006zbMath1263.54009OpenAlexW2077299766MaRDI QIDQ419015

G. D. Richardson, Hatim Boustique

Publication date: 18 May 2012

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2011.08.006

zbMATH Keywords

regularitycompletionslattice-valued Cauchy spaces

Mathematics Subject Classification ID

Fuzzy topology (54A40) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (10)

The category of stratified \(L\)-filter spaces ⋮ \(\top\)-diagonal conditions and continuous extension theorem ⋮ Monoidal closedness of the category of stratified \(L\)-semiuniform convergence spaces ⋮ Extensionality and \(\mathcal{E}\)-connectedness in the category of \(\top\)-convergence spaces ⋮ Stratified \(LMN\)-convergence tower groups and their stratified \(LMN\)-uniform convergence tower structures ⋮ Lattice-valued convergence spaces: weaker regularity and \(p\)-regularity ⋮ On diagonal completion of lattice-valued diagonal Cauchy spaces ⋮ Two types of Galois correspondences over quantaloid-typed sets ⋮ Stratified L-ordered filter spaces ⋮ \(p\)-topologicalness and \(p\)-regularity for lattice-valued convergence spaces

Cites Work

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• A note on regularity
• Cauchy spaces with regular completions
• Subcategories of lattice-valued convergence spaces
• Lattice-valued spaces: fuzzy convergence
• Compactification of lattice-valued convergence spaces
• Die Limes-Uniformisierbarkeit der Limesräume
• Uniform convergence structures
• Lattice-Valued Cauchy Spaces and Completion
• StratifiedL-uniform convergence spaces
• The regularity series of a convergence space II
• A CATEGORY OF L-FUZZY CONVERGENCE SPACES
• Limesräume und Komplettierung
• Completions of uniform convergence spaces

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