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arXiv · 0712.2998

Compactification l-adique de R

Jean-François Jaulent
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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.

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Jean-François Jaulent. 2008-01-06. Compactification l-adique de R. https://arxiv.org/abs/0712.2998

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