An elementary construction of Anick's fibration
An elementary construction of Anick's fibration
spheres and Moore spaces, as well as the first author’s work on the secondary suspension, predicted the existence of a p–local fibration S2n?1?T2n?1??S2n+1 whose connecting map is degree pr. In a long and complex monograph, Anick constructed such a fibration for p ? 5 and r ? 1. Using new methods we give a much more conceptual construction which is also valid for p = 3 and r ? 1. We go on to establish an H space structure on T2n?1 and use this to construct a secondary EHP sequence for the Moore space spectrum.
anick's fibration, double suspension, ehp sequence, moore space
243-275
Gray, Brayton
05361e22-9fe2-4810-bad9-43d43675e547
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
2 January 2010
Gray, Brayton
05361e22-9fe2-4810-bad9-43d43675e547
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Gray, Brayton and Theriault, Stephen
(2010)
An elementary construction of Anick's fibration.
Geometry & Topology, 14 (1), .
(doi:10.2140/gt.2010.14.243).
Abstract
spheres and Moore spaces, as well as the first author’s work on the secondary suspension, predicted the existence of a p–local fibration S2n?1?T2n?1??S2n+1 whose connecting map is degree pr. In a long and complex monograph, Anick constructed such a fibration for p ? 5 and r ? 1. Using new methods we give a much more conceptual construction which is also valid for p = 3 and r ? 1. We go on to establish an H space structure on T2n?1 and use this to construct a secondary EHP sequence for the Moore space spectrum.
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e-pub ahead of print date: 21 October 2009
Published date: 2 January 2010
Keywords:
anick's fibration, double suspension, ehp sequence, moore space
Organisations:
Pure Mathematics
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Local EPrints ID: 341250
URI: http://eprints.soton.ac.uk/id/eprint/341250
ISSN: 1465-3060
PURE UUID: 6d262d2f-c6a0-44a9-a37b-07b234d9cd27
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Date deposited: 18 Jul 2012 13:25
Last modified: 15 Mar 2024 03:45
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Author:
Brayton Gray
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