Homotopy fibrations with a section after looping
Homotopy fibrations with a section after looping
We analyze a general family of fibrations which, after looping, have sections. Methods are developed to determine the homotopy type of the fibre and the homotopy classes of the map from the fibre to the base. The methods are driven by applications to two-cones, Poincare Duality complexes, the connected sum operation, and polyhedral products.
fibration, cofibration, two-cone, Poincare Duality complex, connected sum, polyhedra product
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Theriault, Stephen
(2022)
Homotopy fibrations with a section after looping.
Memoirs of the American Mathematical Society.
(In Press)
Abstract
We analyze a general family of fibrations which, after looping, have sections. Methods are developed to determine the homotopy type of the fibre and the homotopy classes of the map from the fibre to the base. The methods are driven by applications to two-cones, Poincare Duality complexes, the connected sum operation, and polyhedral products.
Text
Fibs with section revised
- Accepted Manuscript
More information
Accepted/In Press date: 21 February 2022
Keywords:
fibration, cofibration, two-cone, Poincare Duality complex, connected sum, polyhedra product
Identifiers
Local EPrints ID: 455423
URI: http://eprints.soton.ac.uk/id/eprint/455423
ISSN: 0065-9266
PURE UUID: 4c061e60-1c2b-4eb7-a2e5-76b91c938d7e
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Date deposited: 21 Mar 2022 17:50
Last modified: 17 Mar 2024 03:30
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