The Connectivity Order of Links

Details The Connectivity Order of Links The Connectivity Order of Links

2008-04-28

arxiv.org/abs/0804.4323v1

Mathematics

General Topology

4 pages, 2 figures

Scientific paper

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.

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