Results 11 to 20 of about 100,494 (261)
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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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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The equivalent condition of G-asymptotic tracking property and G-Lipschitz tracking property
Open Mathematics, 2022 In this paper, we introduce the concepts of GG-Lipschitz tracking property and GG-asymptotic tracking property in metric GG-space and obtain the equivalent conditions of GG-asymptotic tracking property in metric GG-space.
Ji Zhanjiang
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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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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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Pθ-Topological Groups in Nonstandard Analysis [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 The aim of this paper is to introduce and study a new class of topological groups called Pθ-topological group. By using some nonstandard techniques, we investigated some properties of Pθ-monads in Pθ-topological group.
Tahir Ismail +2 more
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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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Compatible Group Topologies [PDF]
Proceedings of the American Mathematical Society, 1975 Two topologies defined on some space are compatible if they contain in common a Hausdorff topology. The following result is proved for two compatible group topologies A 1 {\mathcal {A}_1} and A
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