Johnstone, Peter T. Stone spaces. (English) Zbl 0586.54001 Cambridge Studies in Advanced Mathematics, 3. Cambridge etc.: Cambridge University Press. XXI, 370 p. pbk: £12.95; $ 24.95 (1986). This book is a reprint of the hardcover edition reviewed in Zbl 0499.54001. Cited in 4 ReviewsCited in 156 Documents MSC: 54-02 Research exposition (monographs, survey articles) pertaining to general topology 06-02 Research exposition (monographs, survey articles) pertaining to ordered structures 03G30 Categorical logic, topoi 18-02 Research exposition (monographs, survey articles) pertaining to category theory 18B30 Categories of topological spaces and continuous mappings (MSC2010) 06C20 Complemented modular lattices, continuous geometries 06E15 Stone spaces (Boolean spaces) and related structures 18A15 Foundations, relations to logic and deductive systems 18B25 Topoi 54B20 Hyperspaces in general topology 54D30 Compactness Keywords:Boolean algebras; frames; locales; monads; free objects in varieties of lattices; compact Hausdorff spaces; continuous real-valued functions; representation of rings; profiniteness and duality; continuous lattices; Kakutani’s theory of M-spaces; sheaf theory; categorical logic; global- section representation of rings; Keimel’s L-ring representation; F-rings; Pontryagin-type dualities; exponentiable locals; coherent locales; Vietoris locales; complete regularity; Urysohn’s lemma; pierce spectrum; Zariski spectrum; profinite sets; Lawson semilattices; locally compact locales Citations:Zbl 0452.06001; Zbl 0433.14018; Zbl 0231.18009; Zbl 0201.350; Zbl 0341.18002; Zbl 0499.54001 PDFBibTeX XML