Compactification l-adique de R
Number Theory
2008-01-06 v2
Abstract
We construct a compact topological group Rl which contains both the real additive group R and the l-adic one Ql (for a given prime number l) as dense subgroups; thus we study some of its properties. This construction gives an arithmetic description of the so-called l-adic solenoid classically defined in terms of foliations.
Cite
@article{arxiv.0712.2998,
title = {Compactification l-adique de R},
author = {Jean-François Jaulent},
journal= {arXiv preprint arXiv:0712.2998},
year = {2008}
}