Topologie sur l'ensemble des parties positives d'un réseau

Details Topologie sur l'ensemble des parties positives d'un réseau Topologie sur l'ensemble des parties positives d'un réseau

2008-08-26

arxiv.org/abs/0808.3518v1

Mathematics

General Topology

19 pages. The paper arXiv:0805.3038 has been now divided in two parts: this paper is exactly the sections 2 and 3 of arXiv:080

Scientific paper

We define a notion of {\it positive part} of a lattice $\Lambda$ and we endow
the set of such positive parts with a topology. We then study some properties
of this topology, by comparing it with the one of $V^*/\RM_{> 0}$, where $V^*$
is the dual vector space of $\RM \otimes_\ZM \Lambda$.

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