Boolean-linear spaces

DOI10.1016/0001-8708(90)90008-BzbMath0726.06008OpenAlexW2082334112MaRDI QIDQ802637

Thomas J. Jech

Publication date: 1990

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(90)90008-b

zbMATH Keywords

convergenceforcingBoolean algebrasspectraBoolean-valued modelsfunction spacesvector latticeslattice-ordered groupslinear orderingsStone representation theoremBoolean-linear spaces

Mathematics Subject Classification ID

Partial orders, general (06A06) Stone spaces (Boolean spaces) and related structures (06E15) Noether lattices (06F10) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (6)

Boolean universes above Boolean models ⋮ Boolean methods in positivity ⋮ A Characterization of Function Rings with Boolean Domain ⋮ On the duality between Boolean-valued analysis and reduction theory under the assumption of separability ⋮ A compactness property of Dedekind \(\sigma\)-complete \(f\)-rings ⋮ Boolean Valued Analysis: Background and Results

Cites Work

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• A model of set-theory in which every set of reals is Lebesgue measurable
• Abstract Theory of Abelian Operator Algebras: An Application of Forcing
• Inextensible Riesz spaces
• Two Applications of Logic to Mathematics
• A proof of the independence of the continuum hypothesis
• THE INDEPENDENCE OF THE CONTINUUM HYPOTHESIS
• The Theory of Representation for Boolean Algebras
• On Homogeneous Measure Algebras
• A General Theory of Spectra

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