Results 1 to 10 of about 104,854 (219)
Mathematica Moravica, 2021 In this paper, we introduce the notions of p-topological group and p-irresolute topological group which are generalizations of the notion topological group.
Jafari Saeid +2 more
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ω-NARROWNESS AND RESOLVABILITY OF TOPOLOGICAL GENERALIZED GROUPS [PDF]
Journal of Algebraic Systems, 2020 . A topological group H is called ω -narrow if for every neighbourhood V of it’s identity element there exists a countable set A such that V A = H = AV.
M. R. Ahmadi Zand, S. Rostami
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Long Colimits of Topological Groups III: Homeomorphisms of Products and Coproducts
Axioms, 2021 The group of compactly supported homeomorphisms on a Tychonoff space can be topologized in a number of ways, including as a colimit of homeomorphism groups with a given compact support or as a subgroup of the homeomorphism group of its Stone-Čech ...
Rafael Dahmen, Gábor Lukács
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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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On the Structure of Topological Spaces
Axioms, 2022 The structure of topological spaces is analysed here through the lenses of fibrous preorders. Each topological space has an associated fibrous preorder and those fibrous preorders which return a topological space are called spatial.
Nelson Martins-Ferreira
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★-quasi-pseudometrics on algebraic structures
Applied General Topology, 2023 In this paper, we introduce some concepts of ★-(quasi)-pseudometric spaces, and give an example which shows that there is a ★-quasi-pseudometric space which is not a quasi-pseudometric space.
Shi-Yao He, Ying-Ying Jin, Li-Hong Xie
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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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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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