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20072025
most citedThe Connectivity Order of Links

4 citations · 7 across the 11 of their papers we have counts for

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math.GN2025

A Brunnian Theorem for Finite Families of Random Variables

Stéphane Dugowson

In 2014, during a study on the connectivity structures of quantum entanglement, I specifically introduced the notion of ''the connectivity structure of a family of random variables…

math.GN2018

Toposes of connectivity spaces. Morita equivalences with topological spaces and partially ordered sets in the finite case

Stéphane Dugowson

This paper has two parts. First, we recall and detail the definition of the Grothendieck topos of a connectivity space, that is the topos of sheaves on such a space. In the second…

math.GN2015

Connectivity structure of multiple relations

Stéphane Dugowson

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…

math.GN2010★ 1 cited

On Connectivity Spaces

Stéphane Dugowson

This paper presents some basic facts about the so-called connectivity spaces. In particular, it studies the generation of connectivity structures, the existence of limits and colim…

math.GN2008★ 4 cited

The Connectivity Order of Links

Stéphane Dugowson

We associate at each link a connectivity space which describes its splittability properties. Then, the notion of order for finite connectivity spaces results in the definition of a…

math.GN2007★ 2 cited

Representation of finite connective spaces

Stéphane Dugowson

After recalling the definition of connectivity spaces and some of their main properties, a way is proposed to represent finite connectivity spaces by directed simple graphs. Then a…