Completions of altered topological subgroups of \mathbb{R}^n

Details Completions of altered topological subgroups of \mathbb{R}^n Completions of altered topological subgroups of \mathbb{R}^n

2006-06-06

arxiv.org/abs/math/0606137v1

Mathematics

General Topology

Submitted for publication, 12 pages, AMS-LaTeX

Scientific paper

We prove that a large class of metrizable group topologies for subgroups of $\mathbb{R}^n$ and the completions of the subgroups are locally isometric to, respectively, metrizable group topologies for $\mathbb{Z}$ and their completions, first studied by Nienhuys. This will prove, in particular, that all the complete groups in question are one dimensional, locally totally disconnected, and not locally compact. The metrizable topologies on the subgroups of $\mathbb{R}^n$ are formed by specifying a sequence in $\mathbb{R}^n$ and the rate at which it must converge to the identity.

Affiliated with

Also associated with

No associations

Rating

Completions of altered topological subgroups of \mathbb{R}^n does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Completions of altered topological subgroups of \mathbb{R}^n, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Completions of altered topological subgroups of \mathbb{R}^n will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-3352