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arXiv · 1505.05996

Connectivity structure of multiple relations

Stéphane Dugowson
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Abstract

The prime purpose of this paper is to define the connectivity structure , on a set E, of any multiple relation defined on a family of sets indexed by E, such a relation expressing compatibility between the states of different systems (thus a full compatibility indicates absence of any connection). We then demonstrate a "Brunn's theorem" for those multiple relations, that is the fact that every connectivity structure is the connectivity structure of such a relation.

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Stéphane Dugowson. 2015-05-22. Connectivity structure of multiple relations. https://arxiv.org/abs/1505.05996

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