Results 11 to 20 of about 539 (243)
Computer Sciences & Mathematics Forum, 2023 Alexander Grothendieck suggested creating a new branch of topology, called “topologie modérée”. In a paper by N. A’Campo, L. Ji, and A. Papadopoulos the authors conclude that no such tame topology has been developed at a purely topological level.
Artur Piękosz
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A coalgebraic treatment of conditional transition systems with upgrades [PDF]
Logical Methods in Computer Science, 2018 We consider conditional transition systems, that model software product lines with upgrades, in a coalgebraic setting. By using Birkhoff's duality for distributive lattices, we derive two equivalent Kleisli categories in which these coalgebras live ...
Harsh Beohar +4 more
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Duality analysis on random planar lattices [PDF]
Physical Review E, 2012 10 pages, 10 ...
Ohzeki, Masayuki, Fujii, Keisuke
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Dualities for modal N4-lattices
Logic Journal of IGPL, 2014 We introduce a new Priestley-style topological duality for N4-lattices, which are the algebraic counterpart of paraconsistent Nelson logic. Our duality differs from the existing one, due to S. Odintsov, in that we only rely on Esakia duality for Heyting algebras and not on the duality for De Morgan algebras of Cornish and Fowler.
Ramon Jansana, Umberto Rivieccio
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On the positive Dimant strongly $p$-summing multilinear operators
Karpatsʹkì Matematičnì Publìkacìï, 2020 In 2003, Dimant V. has defined and studied the interesting class of strongly $p$-summing multilinear operators. In this paper, we introduce and study a new class of operators between two Banach lattices, where we extend the previous notion to the ...
A. Bougoutaia, A. Belacel, H. Hamdi
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Duality in Vector Lattices [PDF]
Proceedings of the American Mathematical Society, 1957 Introduction. We shall prove an abstract theorem on the duality of vector lattices. It is powerful and general enough to yield quickly the duality of both the classical examples of concrete vector lattices as well as various abstract analogs of these lattices.
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Self-Dual Criticality in Three-Dimensional Z_{2} Gauge Theory with Matter
Physical Review X, 2021 The simplest topologically ordered phase in 2+1D is the deconfined phase of Z_{2} gauge theory (realized in the toric code, for example). This phase permits a duality that exchanges electric and magnetic excitations (“e” and “m” particles).
Andrés M. Somoza +2 more
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Theory and Applications of Categories, 2009 Let \((A,\leq )\) be an ordered set. We say that it is complete if the embedding of \((A,\leq )\) into the lattice of order ideals of \(A\) such that \(a\mapsto\) the principal order ideal of \(a\) has a left adjoint \( \bigvee\). If \(\bigvee\) has a left adjoint then \((A,\leq )\) is constructively completely distributive.
Marmolejo, Francisco +2 more
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On the class of positive disjoint weak $p$-convergent operators [PDF]
Mathematica BohemicaWe introduce and study the disjoint weak $p$-convergent operators in Banach lattices, and we give a characterization of it in terms of sequences in the positive cones. As an application, we derive the domination and the duality properties of the class of
Abderrahman Retbi
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Quantum stabilizer codes, lattices, and CFTs
Journal of High Energy Physics, 2021 There is a rich connection between classical error-correcting codes, Euclidean lattices, and chiral conformal field theories. Here we show that quantum error-correcting codes, those of the stabilizer type, are related to Lorentzian lattices and non ...
Anatoly Dymarsky, Alfred Shapere
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