Results 31 to 40 of about 12,992,220 (343)
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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A new Lindelof topological group [PDF]
, 2010 We show that the subsemigroup of the product of w_1-many circles generated by the L-space constructed by J. Moore is again an L-space. This leads to a new example of a Lindelof topological group.
Arhangel'skiĭ +11 more
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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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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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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
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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
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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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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 classification of 3+1D bosonic topological orders (I): the case when point-like excitations are all bosons [PDF]
, 2018 Topological orders are new phases of matter beyond Landau symmetry breaking. They correspond to patterns of long-range entanglement. In recent years, it was shown that in 1+1D bosonic systems there is no nontrivial topological order, while in 2+1D ...
Kong, Liang, Lan, Tian, Wen, Xiao-Gang
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Journal of the Egyptian Mathematical Society, 2017 In this paper, we introduce the concept of k̲−partial groups and discuss some of their basic properties. We introduce the category kpg of k̲−partial groups, which is more convenient than the category Sstg of strong semilattices of topological groups [1 ...
A.M. Abd-Allah, A.I. Aggour, A. Fathy
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