The Connectivity Order of Links
General Topology
2008-12-18 v1 Algebraic Topology
Abstract
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.
Cite
@article{arxiv.0804.4323,
title = {The Connectivity Order of Links},
author = {Stéphane Dugowson},
journal= {arXiv preprint arXiv:0804.4323},
year = {2008}
}
Comments
4 pages, 2 figures