Connectivity structure of multiple relations
General Topology
2015-05-25 v1 Category Theory
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.
Cite
@article{arxiv.1505.05996,
title = {Connectivity structure of multiple relations},
author = {Stéphane Dugowson},
journal= {arXiv preprint arXiv:1505.05996},
year = {2015}
}
Comments
in French