1. Borromean rays and hyperplanes.
- Author
-
Calcut, Jack S., Metcalf-Burton, Jules R., Richard, Taylor J., and Solus, Liam T.
- Subjects
HYPERPLANES ,KNOT theory ,MATHEMATICAL analysis ,EMBEDDINGS (Mathematics) ,CATEGORIES (Mathematics) - Abstract
Three disjoint rays in ℝ
3 form Borromean rays provided their union is knotted, but the union of any two components is unknotted. We construct infinitely many Borromean rays, uncountably many of which are pairwise inequivalent. We obtain uncountably many Borromean hyperplanes. [ABSTRACT FROM AUTHOR]- Published
- 2014
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