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math.GRJan 1, 2012
16
citations (OpenAlex)
authors
  • Taras Banakh
  • Igor Guran
  • Igor Protasov
institutions
  • Jan Kochanowski University
  • Lviv University
arXiv abstractPDF
paper

Algebraically determined topologies on permutation groups

arXiv:1201.0087 · doi:10.1016/j.topol.2012.04.010

Abstract

In this paper we answer several questions of Dikran Dikranjan about algebraically determined topologies on the group of (finitely supported) permutations of a set X.

10 pages

References in corpus (6)

  • On subgroups of minimal topological groups
  • The Markov-Zariski topology of an abelian group
  • Reflection principle characterizing groups in which unconditionally closed sets are algebraic
  • The number of non-solutions to an equation in a group and non-topologizable torsion-free groups
  • Topologization of sets endowed with an action of a monoid
  • Zariski topologies on groups

Cited by in corpus (4)

  • Topologization of sets endowed with an action of a monoid
  • Topological Transformation Monoids
  • Markov's problem for free groups
  • Group topologies on automorphism groups of homogeneous structures
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