On the third homotopy group of Orr's space
Algebraic Topology
2018-03-16 v1 Geometric Topology
Abstract
K. Orr defined a Milnor-type invariant of links that lies in the third homotopy group of a certain space The problem of non-triviality of this third homotopy group has been open. We show that it is an infinitely generated group. The question of realization of its elements as links remains open.
Cite
@article{arxiv.1703.10537,
title = {On the third homotopy group of Orr's space},
author = {Emmanuel D. Farjoun and Roman Mikhailov},
journal= {arXiv preprint arXiv:1703.10537},
year = {2018}
}