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An infinite family of convex Brunnian links in $${\mathbb{R}^n}$$ |
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| Authors: | Bob Davis Hugh N Howards Jonathan Newman Jason Parsley |
| Institution: | (1) Center for Connected Learning, Northwestern University, 2120 Campus Drive, Evanston, IL, USA;(2) Learning Sciences Program, Northwestern University, 2120 Campus Drive, Evanston, IL, USA;(3) Computer Science and Electrical Engineering, Northwestern University, 2120 Campus Drive, Evanston, IL, USA;(4) Northwestern Institute on Complex Systems, Northwestern University, 2120 Campus Drive, Evanston, IL, USA |
| 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. |
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