Precompact noncompact reflexive abelian groups
General Topology
2016-03-01 v1
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.
Cite
@article{arxiv.1001.4895,
title = {Precompact noncompact reflexive abelian groups},
author = {S. Ardanza-Trevijano and M. J. Chasco and X. Domínguez and M. G. Tkachenko},
journal= {arXiv preprint arXiv:1001.4895},
year = {2016}
}