The Connectivity Order of Links

Stéphane Dugowson (1)

1 LISMMA - Laboratoire d'Ingénierie des Systèmes Mécaniques et des MAtériaux

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 new numerical invariant for links, their connectivity order. A section of this short paper presents a theorem which asserts that every finite connectivity structure can be realized by a link : the Brunn-Debrunner-Kanenobu Theorem.

Mots clés: Brunnian; Link; Invariant; Connectivity; Brunnian.

Domaines: Topologie générale [math.GN]; Topologie algébrique [math.AT]

Stéphane Dugowson. The Connectivity Order of Links. 2008. ⟨hal-00275717⟩