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arXiv · 1001.4895

Precompact noncompact reflexive abelian groups

S. Ardanza-Trevijano·M. J. Chasco·X. Domínguez·M. G. Tkachenko
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Abstract

We present a series of examples of precompact, noncompact, reflexive topological Abelian groups. Some of them are pseudocompact or even countably compact, but we show that there exist precompact non-pseudocompact reflexive groups as well. It is also proved that every pseudocompact Abelian group is a quotient of a reflexive pseudocompact group with respect to a closed reflexive pseudocompact subgroup.

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S. Ardanza-Trevijano, M. J. Chasco, X. Domínguez, M. G. Tkachenko. 2010-01-27. Precompact noncompact reflexive abelian groups. https://doi.org/10.1515/form.2011.061

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