Results 31 to 40 of about 13,238,488 (369)
Categorically Closed Topological Groups
Axioms, 2017 Let C → be a category whose objects are semigroups with topology and morphisms are closed semigroup relations, in particular, continuous homomorphisms.
Taras Banakh
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Pseudocompact and precompact topological subsemigroups of topological groups
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 It is known that every pseudocompact topological group is precompact, we extend this result to a class of subsemigroup of topological groups. Then we use this results to prove that cancellative locally compact countably compact topological semigroups ...
Julio Cesar Hernandez
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An example of a non-Borel locally-connected finite-dimensional topological group
Karpatsʹkì Matematičnì Publìkacìï, 2017 According to a classical theorem of Gleason and Montgomery, every finite-dimensional locally path-connected topological group is a Lie group. In the paper for every $n\ge 2$ we construct a locally connected subgroup $G\subset{\mathbb R}^{n+1}$ of ...
I.Ya. Banakh, T.O. Banakh, M.I. Vovk
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Group actions on topological graphs [PDF]
, 2010 We define the action of a locally compact group $G$ on a topological graph $E$. This action induces a natural action of $G$ on the $C^*$-correspondence ${\mathcal H}(E)$ and on the graph $C^*$-algebra $C^*(E)$.
Deaconu, Valentin +2 more
core +3 more sources
Derivative for Functions f:G→H, Where G Is a Metric Divisible Group
Mathematics, 2022 In this paper, a derivative for functions f:G→H, where G is any metric divisible group and H is a metric Abelian group with a group metric, is defined. Basic differentiation theorems are stated and demonstrated. In particular, we obtain the Chain Role.
Héctor Andrés Granada Díaz +2 more
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A Study on Neutrosophic Bitopological Group [PDF]
Neutrosophic Sets and Systems, 2020 In this paper we try to introduce neutrosophic bitopological group. We try to investigate some new definition and properties of neutrosophic bitopological group.
Bhimraj Basumatary, Nijwm Wary
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On subgroups of minimal topological groups [PDF]
, 2007 A topological group is minimal if it does not admit a strictly coarser Hausdorff group topology. The Roelcke uniformity (or lower uniformity) on a topological group is the greatest lower bound of the left and right uniformities.
Alexandrov +59 more
core +3 more sources
Partially topological group action
Applied General Topology, 2018 The concept of partially topological group was recently introduced in [3]. In this article, we define partially topological group action on partially topological space and we generalize some fundamental results from topological group action theory.
M. A. Al Shumrani
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Equivariant Movability of Topological Groups [PDF]
Topology and its Applications, 159 (2012), 1761--1766, 2023 The equivariant movability of topological spaces with an action of a given topological group $G$ is considered. In particular, the equivariant movability of topological groups is studied. It is proved that a second countable group $G$ is Lie if and only if it is equivariantly movable.
arxiv +1 more source
Magnetic topological quantum chemistry [PDF]
Nature Communications, 2020 For over 100 years, the group-theoretic characterization of crystalline solids has provided the foundational language for diverse problems in physics and chemistry.
Benjamin J. Wieder +6 more
semanticscholar +1 more source