Uniform lattices. II: Order continuity and exhaustivity

DOI10.1007/BF01765846zbMath0799.06014MaRDI QIDQ1327143

Hans Weber

Publication date: 17 November 1994

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

order continuityLebesgue's dominated convergence theorem\(l\)-groupslattice uniformities\(FN\)- topologies on Boolean ringslattice topologieslocally solid topologies on Riesz spaces

Mathematics Subject Classification ID

Topological lattices, etc. (topological aspects) (54H12) Topological lattices (06B30) Ordered topological structures (06F30)

Related Items (16)

Extension of modular functions and measures ⋮ Liapunov theorem for modular functions ⋮ Valuations on complemented lattices ⋮ Pseudo-D-lattices and Lyapunov measures ⋮ Pseudo-D-lattices and separating points of measures ⋮ Weakly weighted generalised quasi-metric spaces and semilattices ⋮ On a Marinacci uniqueness theorem for measures. ⋮ Lattice uniformities inducing unbounded convergence ⋮ Lebesgue's dominated convergence theorem in Bishop's style ⋮ A characterization of partial metrizability: Domains are quantifiable. ⋮ Openness of measures and closedness of their range ⋮ Weightable quasi-metric semigroups and semilattices ⋮ An extension theorem for modular measures on effect algebras ⋮ Uniform BL-algebras ⋮ The correspondence between partial metrics and semivaluations ⋮ Boolean algebras of lattice uniformities and decompositions of modular functions

Cites Work

• Ein Fortsetzungssatz für gruppenwertige Maße
• Monotonely Cauchy locally-solid topologies
• Uniform lattices. I: A generalization of topological Riesz spaces and topological Boolean rings
• Minimal ring topologies
• Intrinsic topologies in topological lattices and semilattices
• Topological Lattices
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