Precompact noncompact reflexive abelian groups

Details Precompact noncompact reflexive abelian groups Precompact noncompact reflexive abelian groups

2010-01-27

arxiv.org/abs/1001.4895v1

Mathematics

General Topology

Scientific paper

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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