Results 1 to 10 of about 80,464 (141)
Atomic topological groups [PDF]
Advances in Group Theory and Applications, 2018 We investigate the atoms of the lattice L(G) of all group topologies on a group G by using the close connection between atoms of L(G), and minimal Hausdorff elements of the lattice L (G/N) for appropriate quotient groups G/N.
Dikran Dikranjan +2 more
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Topological Algebra and its Applications, 2016 The concept of topological group is a simple combination of the concepts of abstract group and topological space. The purpose of this paper is to combine the concepts of topological space and rough groups; called topological rough groups on an ...
Bağırmaz Nurettin +2 more
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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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C-minimal topological groups [PDF]
Forum Mathematicum, 2021 Abstract In this paper, we study topological groups having all closed subgroups (totally) minimal and we call such groups c-(totally) minimal. We show that a locally compact c-minimal connected group is compact. Using a well-known theorem of [P. Hall and C. R. Kulatilaka, A property of locally finite groups, J. Lond. Math. Soc.
Xi, Wenfei, Shlossberg, Menachem
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Minimum topological group topologies [PDF]
Journal of Pure and Applied Algebra, 2017 A Hausdorff topological group topology on a group $G$ is the minimum (Hausdorff) group topology if it is contained in every Hausdorff group topology on $G$. For every compact metrizable space $X$ containing an open $n$-cell, $n\ge2$, the homeomorphism group $H(X)$ has no minimum Hausdorff group topology.
Chang, Xiao, Gartside, Paul
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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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The Journal of Symbolic Logic, 2023 AbstractWe investigate what it means for a (Hausdorff, second-countable) topological group to be computable. We compare several potential definitions based on classical notions in the literature. We relate these notions with the well-established definitions of effective presentability for discrete and profinite groups, and compare our results with ...
Koh, Heer Tern +2 more
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Soft Topological Transformation Groups
Mathematics, 2020 The aim of the present study is to introduce the concept of soft topological transformation groups by examining the topological transformation groups, which are the core subject of algebraic topology under the soft approach.
Gulay Oguz
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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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Topological Characterizations for Sheaf of the Groups Formed by Topological Generalized Groups
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 In the present paper, we providethe some algebraic topologicalcharacterizations for an algebraic sheafby means of the topological generalized group constructed in [3] by consideringboth homotopy and sheaf theory.
Hakan Efe, Hatice Aslan
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