Results 11 to 20 of about 445,777 (326)
Klein Topological Field Theories from Group Representations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We show that any complex (respectively real) representation of finite group naturally generates a open-closed (respectively Klein) topological field theory over complex numbers.
Sergey A. Loktev, Sergey M. Natanzon
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Advances in the Theory of Compact Groups and Pro-Lie Groups in the Last Quarter Century
Axioms, 2021 This article surveys the development of the theory of compact groups and pro-Lie groups, contextualizing the major achievements over 125 years and focusing on some progress in the last quarter century.
Karl H. Hofmann, Sidney A. Morris
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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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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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The Baum-Connes Conjecture for KK-theory [PDF]
, 2009 We define and compare two bivariant generalizations of the topological $K$-group $K^\top(G)$ for a topological group $G$. We consider the Baum-Connes conjecture in this context and study its relation to the usual Baum-Connes conjecture.Comment: v2: major
Baum +4 more
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Complete Invariant ⋆-Metrics on Semigroups and Groups
Axioms, 2022 In this paper, we study the complete ⋆-metric semigroups and groups and the Raǐkov completion of invariant ⋆-metric groups. We obtain the following. (1) Let (X,d⋆) be a complete ⋆-metric space containing a semigroup (group) G that is a dense subset of X.
Shi-Yao He, Jian-Cai Wei, Li-Hong Xie
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Bulletin of the Belgian Mathematical Society - Simon Stevin, 2008 D. K. Biss (Topology and its Applications 124 (2002) 355-371) introduced the topological fundamental group and presented some interesting basic properties of the notion. In this article we intend to extend the above notion to homotopy groups and try to prove some similar basic properties of the topological homotopy groups.
Ghane, H. +3 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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Irish Mathematical Society Bulletin, 1961 The purpose of this paper is to provide a brief expository sketch of [Proc. Am. Math. Soc. 12, 737-743 (1961; Zbl 0106.026)].
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Counting subgroups and topological group topologies [PDF]
Pacific Journal of Mathematics, 1985 Algebra. Either |^(G)| = 2a or |^(G)| = a. If \S?(G)\ = a then a = co. We describe and characterize those (countable) G such that \S?(G)\ = ω, and we give several examples. Topology. If γ 2 α, then &(y) = 0; otherwise 2 αγ . If γ > 2 α then Jt(y) = 0; if log(α) < γ < 2 α then = 2 α γ; and if ω < γ < a then K(γ)| = 2 α. 0. Introduction and motivation.
Berhanu, Shiferaw +2 more
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