Localic metric spaces and the localic Gelfand duality

DOI10.1016/j.aim.2016.03.006zbMath1338.18015arXiv1411.0898OpenAlexW2963871922MaRDI QIDQ266141

Simon Henry

Publication date: 13 April 2016

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

Full work available at URL: https://arxiv.org/abs/1411.0898

zbMATH Keywords

localesBanach localescompact regualrGelfand dualitymetric locales

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Categorical logic, topoi (03G30) Topoi (18B25) Frames, locales (06D22) Constructive operator theory (47S30)

Related Items (3)

The spectrum of a localic semiring ⋮ Gelfand-type duality for commutative von Neumann algebras ⋮ Unnamed Item

Cites Work

• A globalization of the Hahn-Banach theorem
• Induced representations and Banach \(^*\)-algebraic bundles. With an appendix due to A. Douady and L. Dal Soglio-Herault
• A globalisation of the Gelfand duality theorem
• Frames and Locales
• An extension of the Galois theory of Grothendieck
• An application of descent to a classification theorem for toposes
• Connected Locally Connected Toposes are Path-Connected
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