Z/pr-hyperbolicity via homology
Z/pr-hyperbolicity via homology
We show that the homotopy groups of a Moore space Pn(pr), where pr≠2, are Z/ps-hyperbolic for s≤r. Combined with work of Huang-Wu, Neisendorfer, and Theriault, this completely resolves the question of when such a Moore space is Z/ps-hyperbolic for p≥5, or when p=2 and r≥6. We also give a criterion in ordinary homology for a space to be Z/pr-hyperbolic, and deduce some examples.
Boyde, Guy
5c470bc9-cf8d-4481-9674-db1ea2bf7293
13 November 2023
Boyde, Guy
5c470bc9-cf8d-4481-9674-db1ea2bf7293
Abstract
We show that the homotopy groups of a Moore space Pn(pr), where pr≠2, are Z/ps-hyperbolic for s≤r. Combined with work of Huang-Wu, Neisendorfer, and Theriault, this completely resolves the question of when such a Moore space is Z/ps-hyperbolic for p≥5, or when p=2 and r≥6. We also give a criterion in ordinary homology for a space to be Z/pr-hyperbolic, and deduce some examples.
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2106.03516
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s11856-023-2563-z
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Accepted/In Press date: 26 January 2022
Published date: 13 November 2023
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Local EPrints ID: 455991
URI: http://eprints.soton.ac.uk/id/eprint/455991
ISSN: 0021-2172
PURE UUID: 179a68a2-f537-4800-9a42-2e8639d6d138
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Date deposited: 11 Apr 2022 17:51
Last modified: 16 Mar 2024 16:26
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Author:
Guy Boyde
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