\(L\)-uniform spaces versus \(\mathbb {I}(L)\)-uniform spaces

DOI10.1016/j.fss.2005.10.012zbMath1100.54005OpenAlexW1550211498MaRDI QIDQ2492323

Iraide Mardones-Pérez, María Angeles de Prada Vicente, Tomasz Kubiak

Publication date: 9 June 2006

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

Full work available at URL: https://doi.org/10.1016/j.fss.2005.10.012

zbMATH Keywords

Galois connectionuniformityadjoint functors\(L\)-topology\(L\)-uniformityunit \(L\)-interval\(\mathbb {I}(L)\)-topology\(\mathbb {I}(L)\)-uniformity

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Fuzzy topology (54A40) Topological lattices, etc. (topological aspects) (54H12) Uniform structures and generalizations (54E15) Topological lattices (06B30)

Related Items (2)

Uniform environments as a general framework for metrics and uniformities ⋮ On \(L\)-Tychonoff spaces. II

Cites Work

• Fuzzy topology with respect to continuous lattices
• On fuzzy uniform spaces
• A theory of fuzzy uniformities with applications to the fuzzy real lines
• Normality in fuzzy topological spaces
• Uniformities on fuzzy topological spaces
• A comparison of different compactness notions in fuzzy topological spaces
• Higher separation axioms in \(L\)-topologically generated \(\mathbb I(L)\)-topological spaces
• Stratified Hutton uniform spaces
• An insertion theorem for continuous \(\mathbb I(L)\)-valued functions and its consequences
• On \(L\)-Tychonoff spaces
• InsertingL-fuzzy Real-valued Functions
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