Estructuras de grupo topol\'ogico en (Z,+)
General Topology
2016-03-16 v1 Number Theory
Abstract
In this work we have considered the complexity of the different structures as topological group on Z. We collect some new results, as well as some known results on the group of the integers in order to present: -A family of precompact Hausdorff. -A wide family of metrizable non-precompact, non-complete group topologies. -A wide family of complete non-metrizable topologies. We leave some open questions - for instance the problem of the cardinality of the families above.
Keywords
Cite
@article{arxiv.1603.04695,
title = {Estructuras de grupo topol\'ogico en (Z,+)},
author = {Daniel de la Barrera Mayoral and Elena Martín Peinador},
journal= {arXiv preprint arXiv:1603.04695},
year = {2016}
}
Comments
in Spanish. Bolet\'in de la Sociedad de Profesores Puig Adam. Volumen 95, 2013