A locally quasi-convex abelian group without a mackey group topology

Saak Gabriyelyan

doi:10.1090/proc/14020

A locally quasi-convex abelian group without a mackey group topology

Saak Gabriyelyan

Department of Mathematics

Ben-Gurion University of the Negev

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

Abstract

We give the first example of a locally quasi-convex (even countable reflexive and k_ω) abelian group G which does not admit the strongest compatible locally quasi-convex group topology. Our group G is the Graev free abelian group A_G (s) over a convergent sequence s.

Original language	English
Pages (from-to)	3627-3632
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	146
Issue number	8
DOIs	https://doi.org/10.1090/proc/14020
State	Published - 1 Jan 2018

Keywords

Mackey group topology
The Graev free abelian topological group

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/proc/14020

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title = "A locally quasi-convex abelian group without a mackey group topology",

abstract = "We give the first example of a locally quasi-convex (even countable reflexive and kω) abelian group G which does not admit the strongest compatible locally quasi-convex group topology. Our group G is the Graev free abelian group AG (s) over a convergent sequence s.",

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author = "Saak Gabriyelyan",

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AB - We give the first example of a locally quasi-convex (even countable reflexive and kω) abelian group G which does not admit the strongest compatible locally quasi-convex group topology. Our group G is the Graev free abelian group AG (s) over a convergent sequence s.

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KW - The Graev free abelian topological group

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DO - 10.1090/proc/14020

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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A locally quasi-convex abelian group without a mackey group topology

Abstract

Keywords

ASJC Scopus subject areas

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