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An infinite family of convex Brunnian links in $R^n$

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arxiv 1101.4863 v1 pith:VLMEA265 submitted 2011-01-25 math.GT

Robert Davis , Hugh Howards , Jonathan Newman , Jason Parsley This is my paper · ORCID
classification math.GT
keywords linksbrunnianconvexexamplesborromeanconstructingdimensionevery
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abstract

This paper proves that convex Brunnian links exist for every dimension $n \geq 3$ by constructing explicit examples. These examples are three-component links which are higher-dimensional generalizations of the Borromean rings.

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