Τ-quasi-Cauchy spaces - a non-symmetric theory of completeness and completion

DOI10.4995/agt.2023.18783zbMath1530.54007OpenAlexW4362608324MaRDI QIDQ6142248

Gunther Jäger

Publication date: 21 December 2023

Published in: Applied General Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4995/agt.2023.18783

zbMATH Keywords

fuzzy topologypair \(\top\)-filter\(\mathsf{L}\)-metric space\(\top\)-quasi-Cauchy space\(\top\)-quasi-uniform limit space\(\top\)-quasi-uniform spaceCauchy pair \(\top\)-filter

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Fuzzy topology (54A40) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Uniform structures and generalizations (54E15)

Cites Work

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• An enriched category approach to many valued topology
• Lawvere completion and separation via closure
• Lawvere completeness in topology
• On completeness in quasi-metric spaces
• Quantales and continuity spaces
• Probabilistic topologies induced by \(L\)-fuzzy uniformities
• Lattice-valued spaces: \(\top\)-completions
• Completeness in probabilistic quasi-uniform spaces
• Towards probabilistic partial metric spaces: diagonals between distance distributions
• Prefilter spaces and a precompletion of preuniform convergence spaces related to some well-known completions
• On stratified \(L\)-valued filters induced by \(\top\)-filters
• Die Limes-Uniformisierbarkeit der Limesräume
• Monoidal Topology
• Metric spaces, generalized logic, and closed categories
• A Construction of the Pair Completion of a Quasi-Uniform Space
• THE CATEGORY OF T-CONVERGENCE SPACES AND ITS CARTESIAN-CLOSEDNESS
• Completions of uniform convergence spaces

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