On homotopy rigidity of the functor ΣΩ on co-H-spaces.
On homotopy rigidity of the functor ΣΩ on co-H-spaces.
In this paper we study the homotopy rigidity property of the functors ΣΩ and Ω. Our main result is that both functors are homotopy rigid on simply-connected p-local finite co-H-spaces. The result is obtain by a subtle interplay of homotopy decomposition techniques, modular representation theory and the counting principle.
homotopy rigidity, loop functor, suspensions, co-H-spaces
523-539
Grbic, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175
Wu, Jie
541b9f29-928c-4fbd-9697-2f567d76feb6
19 March 2015
Grbic, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175
Wu, Jie
541b9f29-928c-4fbd-9697-2f567d76feb6
Grbic, Jelena and Wu, Jie
(2015)
On homotopy rigidity of the functor ΣΩ on co-H-spaces.
Advances in Mathematics, 273, .
(doi:10.1016/j.aim.2014.12.034).
Abstract
In this paper we study the homotopy rigidity property of the functors ΣΩ and Ω. Our main result is that both functors are homotopy rigid on simply-connected p-local finite co-H-spaces. The result is obtain by a subtle interplay of homotopy decomposition techniques, modular representation theory and the counting principle.
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Accepted/In Press date: 16 December 2014
e-pub ahead of print date: 21 January 2015
Published date: 19 March 2015
Keywords:
homotopy rigidity, loop functor, suspensions, co-H-spaces
Organisations:
Pure Mathematics
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Local EPrints ID: 410454
URI: http://eprints.soton.ac.uk/id/eprint/410454
ISSN: 0001-8708
PURE UUID: eac467e0-da90-4794-ac34-67be02fe7b59
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Date deposited: 08 Jun 2017 16:31
Last modified: 16 Mar 2024 04:13
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Author:
Jie Wu
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