Lattice-valued semiuniform convergence spaces

DOI10.1016/j.fss.2011.10.017zbMath1256.54022OpenAlexW2001708978MaRDI QIDQ1759630

Jinming Fang

Publication date: 21 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.fss.2011.10.017

zbMATH Keywords

topologyextensionalitytopological category\(L\)-filterCartesian-closedness\(L\)-ordered semiuniform convergence space\(L\)-semiuniform convergence spaceproduct of quotient mappings

Mathematics Subject Classification ID

Fuzzy topology (54A40) Categorical methods in general topology (54B30)

Related Items (14)

The category of stratified \(L\)-filter spaces ⋮ Lattice-valued preuniform convergence spaces ⋮ The category of residuated lattice valued filter spaces ⋮ \(\top\)-diagonal conditions and continuous extension theorem ⋮ Function spaces based on L-sets ⋮ Categorical properties of L-fuzzifying convergence spaces ⋮ Monoidal closedness of the category of stratified \(L\)-semiuniform convergence spaces ⋮ Extensionality and \(\mathcal{E}\)-connectedness in the category of \(\top\)-convergence spaces ⋮ Stratified \(L\)-ordered quasiuniform limit spaces ⋮ A COMMON FRAMEWORK FOR LATTICE-VALUED, PROBABILISTIC AND APPROACH UNIFORM (CONVERGENCE) SPACES ⋮ The lower and upper \(p\)-topological (\(p\)-regular) modifications for lattice-valued convergence spaces ⋮ On \((L, M)\)-double fuzzy filter spaces ⋮ Stratified L-ordered filter spaces ⋮ Convenient properties of stratified L-convergence tower spaces

Cites Work

• An enriched category approach to many valued topology
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• L-fuzzy sets
• Uniform convergence structures
• StratifiedL-uniform convergence spaces
• The category of uniform convergence spaces is cartesian closed
• A CATEGORY OF L-FUZZY CONVERGENCE SPACES
• A New Approach to Quantitative Domain Theory
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