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arxiv: 1101.4863 · v1 · pith:VLMEA265new · submitted 2011-01-25 · 🧮 math.GT

An infinite family of convex Brunnian links in R^n

classification 🧮 math.GT
keywords linksbrunnianconvexexamplesborromeanconstructingdimensionevery
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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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