Results 11 to 20 of about 13,238,488 (369)
Topological groups of bounded homomorphisms on a topological group [PDF]
Filomat, 2016 We consider a few types of bounded homomorphisms on a topological group. These classes of bounded homomorphisms are, in a sense, weaker than the class of continuous homomorphisms. We show that with appropriate topologies each class of these homomorphisms on a complete topological group forms a complete topological group.
Ljubiša D.R. Kočinac, Omid Zabeti
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Extended topological group structure due to average reflection symmetry [PDF]
, 2015 We extend the single-particle topological classification of insulators and superconductors to include systems in which disorder preserves average reflection symmetry.
Diez, M. +3 more
core +5 more sources
Topological Insulators from Group Cohomology [PDF]
Physical Review X, 2016 We classify insulators by generalized symmetries that combine space-time transformations with quasimomentum translations. Our group-cohomological classification generalizes the nonsymmorphic space groups, which extend point groups by real-space ...
A. Alexandradinata +2 more
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Topological Phases Protected by Point Group Symmetry [PDF]
Physical Review X, 2017 We consider symmetry-protected topological (SPT) phases with crystalline point group symmetry, dubbed point group SPT (pgSPT) phases. We show that such phases can be understood in terms of lower-dimensional topological phases with on-site symmetry and ...
Hao Song +3 more
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Progress and prospects in magnetic topological materials [PDF]
Nature, 2022 Magnetic topological materials represent a class of compounds with properties that are strongly influenced by the topology of their electronic wavefunctions coupled with the magnetic spin configuration.
B. Bernevig, C. Felser, H. Beidenkopf
semanticscholar +1 more source
Minimum topological group topologies [PDF]
Journal of Pure and Applied Algebra, 2017 A Hausdorff topological group topology on a group $G$ is the minimum (Hausdorff) group topology if it is contained in every Hausdorff group topology on $G$. For every compact metrizable space $X$ containing an open $n$-cell, $n\ge2$, the homeomorphism group $H(X)$ has no minimum Hausdorff group topology.
Paul Gartside, Xiao Chang
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THE COMPLEXITY OF TOPOLOGICAL GROUP ISOMORPHISM [PDF]
Journal of Symbolic Logic (JSL), 2017 We study the complexity of the topological isomorphism relation for various classes of closed subgroups of the group of permutations of the natural numbers. We use the setting of Borel reducibility between equivalence relations on Borel spaces.
A. Kechris, A. Nies, K. Tent
semanticscholar +1 more source
Generalization of soft topological groups
Journal of the Egyptian Mathematical Society, 2020 There exists two different definitions for soft topological groups, the first due to Hida and the other due to Tariq Shah. In this paper, we give a generalization for both of them, and also, we study the topological properties for the construction of ...
O. Tantawy, S. A. Kandil, A ElShamy
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Topological defect lines and renormalization group flows in two dimensions [PDF]
Journal of High Energy Physics, 2018 A bstractWe consider topological defect lines (TDLs) in two-dimensional conformal field theories. Generalizing and encompassing both global symmetries and Verlinde lines, TDLs together with their attached defect operators provide models of fusion ...
Chi-Ming Chang +4 more
semanticscholar +1 more source
A Selection Principle and Products in Topological Groups
Axioms, 2022 We consider the preservation under products, finite powers, and forcing of a selection-principle-based covering property of T0 topological groups. Though the paper is partly a survey, it contributes some new information: (1) The product of a strictly o ...
Marion Scheepers
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