Borromean rays and hyperplanes
Geometric Topology
2012-11-29 v1 Algebraic Topology
Abstract
Three disjoint rays in euclidean 3-space 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.
Cite
@article{arxiv.1211.6465,
title = {Borromean rays and hyperplanes},
author = {Jack S. Calcut and Jules R. Metcalf-Burton and Taylor J. Richard and Liam T. Solus},
journal= {arXiv preprint arXiv:1211.6465},
year = {2012}
}
Comments
41 pages, 30 figures (19 with captions, 11 inline)