Lattice uniformities generated by filters

DOI10.1006/jmaa.1996.5291zbMath0907.06015OpenAlexW1999331256MaRDI QIDQ1359630

Anna Avallone, Hans Weber

Publication date: 2 March 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.5291

zbMATH Keywords

decompositionmodular functionsuniform completionsdistributive filtersspace of exhaustive lattice uniformities

Mathematics Subject Classification ID

Topological lattices, etc. (topological aspects) (54H12) Uniform structures and generalizations (54E15) Ordered topological structures (06F30)

Related Items (9)

Unnamed Item ⋮ Modular functions on multilattices ⋮ Liapunov theorem for modular functions ⋮ Valuations on complemented lattices ⋮ On lattices of uniformities ⋮ Unnamed Item ⋮ Lattice uniformities on effect algebras ⋮ Modular functions: uniform boundedness and compactness ⋮ Boolean algebras of lattice uniformities and decompositions of modular functions

Cites Work

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• Monotonely Cauchy locally-solid topologies
• Uniform lattices. I: A generalization of topological Riesz spaces and topological Boolean rings
• On modular functions
• Lattice uniformities and modular functions on orthomodular lattices
• Topological vector spaces and algebras

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