2008/04/28 by Stéphane Dugowson, Dugowson, Stéphane
Mathematics · #54A05 #57M25 #Advanced Operator Algebra Research #Algebraic Topology (math.AT) #FOS: Mathematics #General Topology (math.GN) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AT #math.GN #msc:54A05 #msc:57M25
paper · pdf · doi:10.48550/arxiv.0804.4323
4 pages, 2 figures
arxiv created 2008/04/28 · openalex publication_date 2008/04/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.