Minimally almost periodic group topologies on countably infinite Abelian groups

S. S. Gabriyelyan

doi:10.1090/S0002-9939-2014-12383-5

Minimally almost periodic group topologies on countably infinite Abelian groups

S. S. Gabriyelyan

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

We obtain a positive answer to a question by Comfort: Every countable Abelian group G of infinite exponent admits a complete Hausdorff minimally almost periodic group topology.

Original language	English
Pages (from-to)	1823-1829
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	143
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-2014-12383-5
State	Published - 1 Jan 2015

Keywords

Countable Abelian group
Dual group
Minimally almost periodic
T-sequence
Von Neumann radical

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-2014-12383-5

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title = "Minimally almost periodic group topologies on countably infinite Abelian groups",

abstract = "We obtain a positive answer to a question by Comfort: Every countable Abelian group G of infinite exponent admits a complete Hausdorff minimally almost periodic group topology.",

keywords = "Countable Abelian group, Dual group, Minimally almost periodic, T-sequence, Von Neumann radical",

author = "Gabriyelyan, \{S. S.\}",

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doi = "10.1090/S0002-9939-2014-12383-5",

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AB - We obtain a positive answer to a question by Comfort: Every countable Abelian group G of infinite exponent admits a complete Hausdorff minimally almost periodic group topology.

KW - Countable Abelian group

KW - Dual group

KW - Minimally almost periodic

KW - T-sequence

KW - Von Neumann radical

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DO - 10.1090/S0002-9939-2014-12383-5

M3 - Article

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VL - 143

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EP - 1829

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

ER -

Minimally almost periodic group topologies on countably infinite Abelian groups

Abstract

Keywords

ASJC Scopus subject areas

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