Original Paper

Geometriae Dedicata

, Volume 155, Issue 1, pp 141-149

First online:

An infinite family of convex Brunnian links in \({\mathbb{R}^n}\)

  • Bob DavisAffiliated withDepartment of Mathematics, Wake Forest University
  • , Hugh N. HowardsAffiliated withDepartment of Mathematics, Wake Forest University Email author 
  • , Jonathan NewmanAffiliated withDepartment of Mathematics, Wake Forest University
  • , Jason ParsleyAffiliated withDepartment of Mathematics, Wake Forest University

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Abstract

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

Keywords

Brunnian links High-dimensional knot theory Borromean rings

Mathematics Subject Classification (2000)

57Q45