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arXiv · 0804.4323

The Connectivity Order of Links

Stéphane Dugowson
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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.

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Stéphane Dugowson. 2008-04-28. The Connectivity Order of Links. https://arxiv.org/abs/0804.4323

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