Results 61 to 70 of about 141 (99)
Notes on point-free real functions and sublocales
, 2014 Using the technique of sublocales we present a survey of some known facts (with a few new ones added) on point-free real functions. The subjects treated are, e.g., images and preimages, semicontinuity, algebraic structure (point-free real arithmetics), zero and cozero parts, z-embeddings, z-open and z-closed maps, disconnectivity, small sublocales and ...
Gutiérrez García, Javier +2 more
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Některé bezbodové aspekty souvislosti
, 2016 V této práci ukážeme Stoneovu větu o reprezentaci, která je také známa pod názvem Stoneova dualita, v bezbodovém kontextu. Předvedený důkaz je bezvýběrový, a protože se nemusíme starat o jednotlivé body, je mnohem jednodušší než původní důkaz.
Jakl, Tomáš
core
Některé bezbodové aspekty souvislosti
, 2013 V této práci ukážeme Stoneovu větu o reprezentaci, která je také známa pod názvem Stoneova dualita, v bezbodovém kontextu. Předvedený důkaz je bezvýběrový, a protože se nemusíme starat o jednotlivé body, je mnohem jednodušší než původní důkaz.
Jakl, Tomáš
core
Lebesgue integration, measure and σ-sublocales
Universidade de Coimbra - Bolsa de investigação, no âmbito do Projecto Centro de Matemática da Universidade de Coimbra (CMUC), com referência UIDP/00324 ...
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Journal of Pure and Applied Algebra, 2002 The lattice of sublocales of a locale, unlike the lattice of subspaces of a space, is not in general a Boolean algebra. It is not even a frame; but it is the dual of a frame, and so may be identified with the lattice of closed sublocales of another locale, called the dissolution of the original locale.
Till Plewe, Plewe, Till
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The Other Closure and Complete Sublocales [PDF]
Applied Categorical Structures, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maria Manuel Clementino +2 more
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Generating sublocales by subsets and relations: a tangle of adjunctions
Algebra Universalis, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M Andrew Moshier +2 more
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Axiom $T_D$ and the Simmons sublocale theorem [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2020 Summary: More precisely, we are analyzing some of H. Simmons, S. B. Niefield and K. I. Rosenthal results concerning sublocales induced by subspaces. \textit{H. Simmons} [Proc. Edinb. Math. Soc., II. Ser. 21, 41--48 (1978; Zbl 0396.54014); Colloq. Math. 43, 23--39 (1980; Zbl 0459.54024)] was concerned with the question when the coframe of sublocales is ...
Picado, Jorge, Pultr, Aleš
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Complemented sublocales and open maps
Annals of Pure and Applied Logic, 2006 The main purpose of this paper is to answer a question posed by \textit{W. Tholen}: is it possible to characterize the open maps in the category of locales as those morphisms \(f\) such that pullback along \(f\) preserves closures of sublocales? So, the authors show that the answer to Tholen's question is negative: there are locales maps \(f\) such ...
Johnstone, P.T., P.T. Johnstone
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More on locales in which every open sublocale is z-embedded
Topology and Its Applications, 2016 Locales in which every open sublocale is \(z\)-embedded are called \textit{Oz-locales}. They were introduced by \textit{B. Banaschewski} and \textit{C. Gilmour} [``Oz revisited'', in: H. Herrlich (ed.) and H.-E. Porst (ed.), Proceedings of the conference on categorical methods in algebra and topology. Bremen: Universität Bremen.
Themba Dube, Oghenetega Ighedo
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