Results 131 to 140 of about 793 (154)
Duality theory for enriched Priestley spaces [PDF]
Journal of Pure and Applied Algebra, 2023 The term Stone-type duality often refers to a dual equivalence between a category of lattices or other partially ordered structures on one side and a category of topological structures on the other. This paper is part of a larger endeavour that aims to extend a web of Stone-type dualities from ordered to metric structures and, more generally, to ...
Dirk Hofmann
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Priestley duality for MV-algebras and beyond [PDF]
Forum Mathematicum, 2021 We provide a new perspective on extended Priestley duality for a large class of distributive lattices equipped with binary double quasioperators. Under this approach, non-lattice binary operations are each presented as a pair of partial binary operations
Wesley Fussner +2 more
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Descent for Priestley Spaces [PDF]
Applied Categorical Structures, 2006 A preordered (ordered) topological space is a triple \((X,\tau ,\leq )\) where \(X\) is a set, \(\tau \) is a topology on \(X\) and \(\leq \) is a preorder (order) on \(X.\) An ordered space \((X,\tau ,\leq )\) is said to be totally order-disconnected if given \(x\nleqslant y\) in \(X\) there exists a clopen decreasing subset \(U\) of \(X\) (i.e.
Manuela Sobral, Sobral Manuela
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Some of the next articles are maybe not open access.
An isomorphic approach of fuzzy soft lattices to fuzzy soft Priestley spaces
Computational and Applied Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muhammad Shabir +2 more
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Configurations in Coproducts of Priestley Spaces
Applied Categorical Structures, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Richard N Ball +2 more
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More on Configurations in Priestley Spaces, and Some New Problems
Applied Categorical Structures, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J Sichler, Sichler J
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Priestley Duality for Strong Proximity Lattices
Electronic Notes in Theoretical Computer Science, 2006 In 1937 Marshall Stone extended his celebrated representation theorem for Boolean algebras to distributive lattices. In modern terminology, the representing topological spaces are zero-dimensional stably compact, but typically not Hausdorff.
Mohamed A El-Zawawy, Achim Jung
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The Priestley Separation Axiom for Scattered Spaces
Order, 2002The authors give a new characterization of scattered compact Hausdorff spaces. Main results: (1) Let \(X\) be a scattered compact Hausdorff space with a quasi-order \(R\). Then \(R\) is closed if and only if \((X,R)\) is a Priestley space. (2) Let \(X\) be a non-scattered compact Hausdorff space. Then there is a closed equivalence relation \(E\) on \(X\
Guram Bezhanishvili +2 more
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Priestley Spaces, Quasi–hyperalgebraic Lattices and Smyth Powerdomains
Acta Mathematica Sinica, English Series, 2006The authors introduce the notion of a quasi-hyperalgebraic lattice (always assumed to be complete) and give several equivalences, among them the condition that the lattice be a quasialgebraic one for which the upper and Scott topologies agree. It is shown that the quasi-algebraic lattices are precisely the ones that are Priestley spaces with repect to ...
Yang, Jinbo, Luo, Maokang
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Priestley Duality and Representations of Global Dynamics
Qualitative Theory of Dynamical SystemsAsymptotic global dynamics is fundamentally an order structure. This relationship is naturally characterized in terms of a Priestley space derived from the attractors of a system, which provides an order-theoretic framework for the study of global ...
William D Kalies, Robert Vandervorst
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