Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 18, Number 1 (2018), 569-582.
On the third homotopy group of Orr's space
K Orr defined a Milnor-type invariant of links that lies in the third homotopy group of a certain space . The problem of nontriviality 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.
Algebr. Geom. Topol., Volume 18, Number 1 (2018), 569-582.
Received: 30 March 2017
Revised: 2 July 2017
Accepted: 13 July 2017
First available in Project Euclid: 1 February 2018
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Dror Farjoun, Emmanuel; Mikhailov, Roman. On the third homotopy group of Orr's space. Algebr. Geom. Topol. 18 (2018), no. 1, 569--582. doi:10.2140/agt.2018.18.569. https://projecteuclid.org/euclid.agt/1517454226