Geometry & Topology
- Geom. Topol.
- Volume 14, Number 1 (2010), 243-275.
An elementary construction of Anick's fibration
Cohen, Moore, and Neisendorfer’s work on the odd primary homotopy theory of spheres and Moore spaces, as well as the first author’s work on the secondary suspension, predicted the existence of a –local fibration whose connecting map is degree . In a long and complex monograph, Anick constructed such a fibration for and . Using new methods we give a much more conceptual construction which is also valid for and . We go on to establish an space structure on and use this to construct a secondary sequence for the Moore space spectrum.
Geom. Topol., Volume 14, Number 1 (2010), 243-275.
Received: 18 December 2007
Revised: 3 August 2009
Accepted: 1 September 2009
First available in Project Euclid: 20 December 2017
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Gray, Brayton; Theriault, Stephen. An elementary construction of Anick's fibration. Geom. Topol. 14 (2010), no. 1, 243--275. doi:10.2140/gt.2010.14.243. https://projecteuclid.org/euclid.gt/1513732176