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Comparing constructions of the classifying space for the fibre of the double suspension

Comparing constructions of the classifying space for the fibre of the double suspension
Comparing constructions of the classifying space for the fibre of the double suspension
The different constructions of a classifying space for the fibre of the double suspension by Gray and the authors are shown to be essentially the same, up to a homotopy equivalence. We go on to compare a variety of maps Ω 2S 2np+1⟶S 2np−1 that are of degree p on the bottom cell.
Classifying space, Double suspension, James-Hopf invariant
0166-8641
Selick, Paul
865f7a6b-4e12-4603-ac68-721a34d6abed
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Selick, Paul
865f7a6b-4e12-4603-ac68-721a34d6abed
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80

Selick, Paul and Theriault, Stephen (2022) Comparing constructions of the classifying space for the fibre of the double suspension. Topology and its Applications, 317 (8), [108163]. (doi:10.1016/j.topol.2022.108163).

Record type: Article

Abstract

The different constructions of a classifying space for the fibre of the double suspension by Gray and the authors are shown to be essentially the same, up to a homotopy equivalence. We go on to compare a variety of maps Ω 2S 2np+1⟶S 2np−1 that are of degree p on the bottom cell.

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Comparing revised - Accepted Manuscript
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Accepted/In Press date: 1 June 2022
e-pub ahead of print date: 16 June 2022
Published date: 1 August 2022
Additional Information: Publisher Copyright: © 2022 Elsevier B.V.
Keywords: Classifying space, Double suspension, James-Hopf invariant

Identifiers

Local EPrints ID: 467335
URI: http://eprints.soton.ac.uk/id/eprint/467335
DOI: doi:10.1016/j.topol.2022.108163
ISSN: 0166-8641
PURE UUID: 1da557b7-a8d2-47bc-a239-a74a87d6ad75
ORCID for Stephen Theriault: ORCID iD orcid.org/0000-0002-7729-5527

Catalogue record

Date deposited: 06 Jul 2022 17:07
Last modified: 17 Mar 2024 07:22

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Contributors

Author: Paul Selick
Author: Stephen Theriault ORCID iD

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