Extensions of the stone duality to the category of Boolean spaces and continuous maps

DOI10.2989/16073606.2021.1928324zbMath1498.18004OpenAlexW3171571367MaRDI QIDQ5095409

Georgi D. Dimov, Elza Ivanova-Dimova

Publication date: 8 August 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2021.1928324

zbMATH Keywords

dualityBoolean spacestone space(complete atomic) Boolean algebraBoolean (l)(d)z-algebraBoolean (l)(m)z-map

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Categorical methods in general topology (54B30) Stone spaces (Boolean spaces) and related structures (06E15) Local compactness, (sigma)-compactness (54D45) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Categories of topological spaces and continuous mappings (18F60) Frames and locales, pointfree topology, Stone duality (18F70)

Related Items (1)

Categorical extension of dualities: from Stone to de Vries and beyond. II

Cites Work

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• Some generalizations of the Stone Duality Theorem
• The Categories of Boolean Lattices, Boolean Rings and Boolean Spaces

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