Banach sheaves

DOI10.1016/0022-4049(80)90023-7zbMath0475.18007OpenAlexW4212886760MaRDI QIDQ1159755

Christopher J. Mulvey

Publication date: 1980

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(80)90023-7

zbMATH Keywords

Grothendieck toposBanach bundlecategory of sheavesCauchy completenessBanach sheafcategory of Banach spaces

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Topoi (18B25) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items

Injectivity and modelling in the Blass topos ⋮ Unnamed Item ⋮ The Hahn-Banach theorem in a category of sheaves ⋮ Extension of invariant linear functionals: Hahn-Banach in the topos of M- sets ⋮ A globalization of the Hahn-Banach theorem ⋮ THE DAUNS–HOFMANN THEOREM REVISITED ⋮ Unnamed Item ⋮ A constructive proof of the Stone-Weierstrass theorem ⋮ An essay on noncommutative topology ⋮ A non-commutative Gel'fand-Naimark theorem ⋮ A globalisation of the Gelfand duality theorem ⋮ Locales in functional analysis

Cites Work

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• Compact ringed spaces
• The Hahn-Banach theorem in a category of sheaves
• Induced representations and Banach \(^*\)-algebraic bundles. With an appendix due to A. Douady and L. Dal Soglio-Herault
• SHEAVES OF BANACH SPEACES
• Representation of rings by sections
• Representations of algebras by continuous sections