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The stable topology for residuated lattices
Soft Computing, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Catalin Busneag, Dana Piciu
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Topological aspects of the Medvedev lattice
Archive for Mathematical Logic, 2010We study the Medvedev degrees of mass problems with distinguished topological properties, such as denseness, closedness, or discreteness. We investigate the sublattices generated by these degrees; the prime ideal generated by the dense degrees and its complement, a prime filter; the filter generated by the nonzero closed degrees and the filter ...
Lewis A. E. M. +2 more
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2021
“Global topology,” which we will discuss in this first section, is the total topological charge of the whole lattice: in the subsequent sections, we will review more local observables aimed at revealing the topological substructure of the gauge theory vacuums.
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“Global topology,” which we will discuss in this first section, is the total topological charge of the whole lattice: in the subsequent sections, we will review more local observables aimed at revealing the topological substructure of the gauge theory vacuums.
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Finite Intervals in the Lattice of Topologies
Applied Categorical Structures, 2000The author discusses the question whether every finite interval in the lattice of all topologies on some set is isomorphic to an interval in the lattice of all topologies on a finite set -- or, equivalently, whether the finite intervals in lattices of topologies are, up to isomorphism, exactly the duals of finite atomistic intervals in lattices of ...
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Nuclear Physics B - Proceedings Supplements, 1990
Abstract This report describes work done in collaboration with Mike Teper using Phillips and Stone's geometric algorithm to measure the topology of gauge fields on the lattice. The algorithm has been around for a number of years, and in that time has been used for exhaustive calculations of the density of topological fluctuations in the SU(2) gauge ...
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Abstract This report describes work done in collaboration with Mike Teper using Phillips and Stone's geometric algorithm to measure the topology of gauge fields on the lattice. The algorithm has been around for a number of years, and in that time has been used for exhaustive calculations of the density of topological fluctuations in the SU(2) gauge ...
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The Lattice of all Topologies is Complemented
Canadian Journal of Mathematics, 1968In (3), J. Hartmanis raised the question whether the lattice of all topologies in a given set is complemented and gave the affirmative answer for the case of a finite set. H. Gaifman (2), has extended this result to denumerable sets. Using Gaifman's paper, Anne K. Steiner (4) has proved that the lattice is always complemented.
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On the lattice of fuzzy topologies I
Fuzzy Sets and Systems, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Topological density of lattice nets
Acta Crystallographica Section A Foundations of Crystallography, 2012It was shown in a previous paper [Eon (2004). Acta Cryst. A60, 7-18] that the topological density of a periodic net can be calculated directly from its cycles figure, a polytope constructed from those cycles of the quotient graph of the net that are associated with its geodesic lines.
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