The Connectivity Order of Links

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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.
4 pages, 2 figures

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General Topology, Algebraic Topology, 57M25, 54A05

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http://salesiana.dossiersoluciones.com/handle/123456789/212429

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.4323
 http://arxiv.org/abs/0804.4323

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arXiv