English

On the Chabauty space of locally compact abelian groups

Group Theory 2013-10-17 v1

Abstract

This paper contains several results about the Chabauty space of a general locally compact abelian group. Notably, we determine its topological dimension, we characterize when it is totally disconnected or connected; we characterize isolated points.

Keywords

Cite

@article{arxiv.1011.5333,
  title  = {On the Chabauty space of locally compact abelian groups},
  author = {Yves Cornulier},
  journal= {arXiv preprint arXiv:1011.5333},
  year   = {2013}
}

Comments

24 pages, 0 figure