Lattice-Valued Cauchy Spaces and Completion

DOI10.2989/16073601003718255zbMath1274.54026OpenAlexW2091990809MaRDI QIDQ2862692

Gunther Jäger

Publication date: 19 November 2013

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073601003718255

zbMATH Keywords

completenesscompletion\(L\)-topology\(L\)-filter\(L\)-fuzzy convergence\(L\)-Cauchy space\(L\)-limit space\(L\)-uniform convergence spaceprobabilistic Cauchy space\(L\)-Cauchy filter

Mathematics Subject Classification ID

Fuzzy topology (54A40) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (10)

The category of stratified \(L\)-filter spaces ⋮ The category of residuated lattice valued filter spaces ⋮ Regularity: lattice-valued Cauchy spaces ⋮ Stratified \(LMN\)-convergence tower groups and their stratified \(LMN\)-uniform convergence tower structures ⋮ CHANGE OF BASIS FOR LATTICE-VALUED CONVERGENCE GROUPS ⋮ Strict ⊤-embeddings ⋮ On diagonal completion of lattice-valued diagonal Cauchy spaces ⋮ Stratified L-ordered filter spaces ⋮ Lattice-valued spaces: \(\top\)-completions ⋮ Lattice-Valued Convergence Ring and Its Uniform Convergence Structure

Cites Work

• Probabilistic convergence structures
• Subcategories of lattice-valued convergence spaces
• Lattice-valued convergence spaces and regularity
• Completion of \(L\)-topological groups
• Lattice-valued spaces: fuzzy convergence
• A common framework for lattice-valued uniform spaces and probabilistic uniform limit spaces
• The relationship between various filter notions on a \(GL\)-monoid
• A generalization of probabilistic uniform spaces
• On completion of fuzzy metric spaces
• Completeness of Hutton [0,1-quasi-uniform spaces]
• Die Limes-Uniformisierbarkeit der Limesräume
• Uniform convergence structures
• StratifiedL-uniform convergence spaces
• Level spaces for lattice-valued uniform convergence spaces
• Completion of Probabilistic Uniform Limit Spaces
• A CATEGORY OF L-FUZZY CONVERGENCE SPACES
• Ein Komplettierungsfunktor für uniforme Limesräume
• Limesräume und Komplettierung
• Subcategories of filter tower spaces

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