Some generalizations of the Stone Duality Theorem

DOI10.5486/PMD.2012.4814zbMath1265.18008MaRDI QIDQ2915398

Georgi D. Dimov

Publication date: 17 September 2012

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

zbMATH Keywords

dualityperfect mapgeneralized Boolean algebraskeletal map(quasi-)open maplocal Boolean algebracontravariant adjunction(dense) embeddinginjective (surjective) maplocally compact (compact) zero-dimensional spaceZLB-algebra

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Continuous maps (54C05) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Stone spaces (Boolean spaces) and related structures (06E15) Local compactness, (sigma)-compactness (54D45) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (5)

Categorical extension of dualities: from Stone to de Vries and beyond. I ⋮ On dimension andweight of a local contact algebra ⋮ Extensions of the stone duality to the category of Boolean spaces and continuous maps ⋮ Extensions of dualities and a new approach to the Fedorchuk duality ⋮ The universal approximation property. Characterization, construction, representation, and existence

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