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Perfectly supportable semigroups are σ-discrete in each Hausdorff shift-invariant topology

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Publication:2851043
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DOI10.2478/taa-2013-0001zbMath1279.22003arXiv1112.5727OpenAlexW3124096671MaRDI QIDQ2851043

Taras Banakh, I. J. Guran

Publication date: 2 October 2013

Published in: Topological Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5727


zbMATH Keywords

\(\sigma \)-discrete spacegroup of finitely supported permutationssemi-Zariski topologysemigroup of finitely supported relationssupt-perfect semigroup


Mathematics Subject Classification ID

Structure of general topological groups (22A05) Semigroups of transformations, relations, partitions, etc. (20M20) Structure of topological semigroups (22A15) Local compactness, (sigma)-compactness (54D45) Subgroups of symmetric groups (20B35)


Related Items

Cardinal invariants distinguishing permutation groups ⋮ Zariski topology and Markov topology on groups ⋮ Algebraically determined topologies on permutation groups. ⋮ Topologizations of a set endowed with an action of a monoid



Cites Work

  • Algebraically determined topologies on permutation groups.
  • Topologizations of a set endowed with an action of a monoid
  • TOPOLOGICAL GROUP STRUCTURES OF INFINITE SYMMETRIC GROUPS
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