Non-discrete topologizations of some countable groups
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ARNAUTOV, Vladimir, ERMACOVA, Galina. Non-discrete topologizations of some countable groups. In: Proceedings IMCS-55: The Fifth Conference of Mathematical Society of the Republic of Moldova, 28 septembrie - 1 octombrie 2019, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2019, pp. 9-11. ISBN 978-9975-68-378-4.
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Proceedings IMCS-55 2019
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chișinău, Moldova, 28 septembrie - 1 octombrie 2019

Non-discrete topologizations of some countable groups


Pag. 9-11

Arnautov Vladimir1, Ermacova Galina2
 
1 Vladimir Andrunachievici Institute of Mathematics and Computer Science,
2 Tiraspol State University
 
 
Disponibil în IBN: 1 noiembrie 2019


Rezumat

If G is a countable group such that for any finite subset M ⊆ G there exists an infinite set S ⊆ G such that m·g = g ·m for any m ∈ M and any g ∈ S, then the group G admits a non-discrete Hausdorff group topology.

Cuvinte-cheie
Countable group, group topology, Hausdorff topologies, lattice of group topologies, coatom in a lattice