Monotonely Cauchy locally-solid topologies

DOI10.1007/BF00383205zbMath0778.46007MaRDI QIDQ1177714

Tim Traynor, Achille Basile

Publication date: 26 June 1992

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

complete Boolean algebraBoolean algebra of order projectionscomplete lattice of monotonely Cauchy locally solid topologies on a given lattice-ordered groupYosida-Hewitt decomposition for group homomorphisms

Mathematics Subject Classification ID

Heyting algebras (lattice-theoretic aspects) (06D20) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Group- or semigroup-valued set functions, measures and integrals (28B10)

Related Items (6)

Uniform lattices. II: Order continuity and exhaustivity ⋮ Lattice uniformities generated by filters ⋮ On lattices of uniformities ⋮ On a unifying approach to decomposition theorems of Yosida-Hewitt type ⋮ Boolean algebras of lattice uniformities and decompositions of modular functions ⋮ Integration: Uniform structure

Cites Work

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• Unabhaengige Topologien, Zerlegung von Ringtopologien
• The Lebesgue Decomposition for Group-Valued Set Functions

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