Results 11 to 20 of about 12,992,220 (343)
Topological Groups of Bounded Homomorphisms on a Topological Group [PDF]
Filomat, 2015 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
L. Kočinac, O. Zabeti
semanticscholar +5 more sources
The topological fundamental group and free topological groups [PDF]
Topology and its Applications, 2010 The topological fundamental group $\pi_{1}^{top}$ is a homotopy invariant finer than the usual fundamental group. It assigns to each space a quasitopological group and is discrete on spaces which admit universal covers.
Aguilar +28 more
core +4 more sources
Ambitable topological groups [PDF]
Topology and its Applications, 2008 A topological group is said to be ambitable if each uniformly bounded uniformly equicontinuous set of functions on the group with its right uniformity is contained in an ambit.
Arkhangelskiıˇ +19 more
core +6 more sources
Each topological group embeds into a duoseparable topological group [PDF]
Topology and its Applications, 2020 9 ...
T. Banakh, Igor Guran, A. Ravsky
semanticscholar +5 more sources
On Central Topological Groups [PDF]
Transactions of the American Mathematical Society, 1967 Siegfried Grosser, Martin Moskowitz
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Continuity in Topological Groups [PDF]
Proceedings of the American Mathematical Society, 1962 1. In the theory of topological groups, it is customary to make certain assumptions concerning the continuity of the product and continuity of the inverse. It has been noted that certain types of group spaces with less stringent assumptions than those usually made yield the ordinary assumptions [1; 2; 3; 4; 5].
Ta-Sun Wu
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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
openaire +3 more sources
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
doaj +1 more source
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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