An approach to the dimension theory of continuous geometry from the standpoint of Boolean valued analysis

DOI10.2977/PRIMS/1195180884zbMath0574.51012OpenAlexW2026394899MaRDI QIDQ1063868

Hirokazu Nishimura

Publication date: 1984

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195180884

zbMATH Keywords

Boolean valued analysisirreducible continuous geometryreducible continuous geometry

Mathematics Subject Classification ID

Continuous geometries, geometric closure systems and related topics (51D30)

Related Items (12)

Forcing in nonstandard analysis ⋮ Manuals in orthogonal categories ⋮ Boolean valued Lie algebras ⋮ The logical quantization of algebraic groups ⋮ A bundle representation for continuous geometries ⋮ Logical quantization of differential geometry ⋮ Logical quantizations of first-order structures ⋮ Boolean transfer from coherent quantum logics to quantum logics with continuous superselection rules ⋮ Boolean valued interpretation of Banach space theory and module structures of von Neumann algebras ⋮ On the duality between Boolean-valued analysis and reduction theory under the assumption of separability ⋮ A Boolean-valued approach to Gleason's theorem ⋮ Boolean Valued Analysis: Background and Results

Cites Work

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• Boolean valued interpretation of Hilbert space theory
• Dimensionality in reducible geometries
• On the Transitivity of Perspectivity in Continuous Geometries
• On continuous geometries. II

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