Countably infinite quasi-convex sets in some locally compact abelian groups

Author:

Dikranjan Dikran,de Leo Lorenzo

Publisher

Elsevier BV

Subject

Geometry and Topology

Reference18 articles.

1. Contributions to the duality theory of abelian topological groups and to the theory of nuclear groups;Außenhofer;Dissertationes Math. (Rozprawy Mat.),1999

2. L. Außenhofer, L. de Leo, D. Dikranjan, Locally convex group topologies on the integers, in preparation

3. L. Außenhofer, L. de Leo, D. Dikranjan, E. Martín-Peinador, A categorical approach to Mackey topologies, in preparation

4. Additive Subgroups of Topological Vector Spaces;Banaszczyk,1991

5. M. Beiglböck, L. de Leo, D. Dikranjan, C. Steineder, On quasi-convexity of finite sets, Preprint, March 2005

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1. Mackey groups and Mackey topologies;Dissertationes Mathematicae;2021

2. Locally quasi-convex compatible topologies on locally compact abelian groups;Mathematische Zeitschrift;2019-11-12

3. On quasi-convex null sequences in infinite cyclic groups;Forum Mathematicum;2018-07-01

4. Compact-like abelian groups without non-trivial quasi-convex null sequences;Journal of Pure and Applied Algebra;2014-01

5. Linear topologies on Z are not Mackey topologies;Journal of Pure and Applied Algebra;2012-06

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