Functorial homotopy decompositions of looped co-H spaces
Functorial homotopy decompositions of looped co-H spaces
In recent work of the first and third authors, functorial coalgebra decompositions of tensor algebras were geometrically realized to give functorial homotopy decompositions of loop suspensions. Later work by all three authors generalized this to functorial decompositions of looped coassociative co-H spaces. In this paper we use different methods which allow for the coassociative hypothesis to be removed.
loop space decomposition, co-h space
139-153
Selick, Paul
e86392a7-7aa2-495e-ab2c-3b7b1d3a8098
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Wu, Jie
541b9f29-928c-4fbd-9697-2f567d76feb6
February 2011
Selick, Paul
e86392a7-7aa2-495e-ab2c-3b7b1d3a8098
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Wu, Jie
541b9f29-928c-4fbd-9697-2f567d76feb6
Selick, Paul, Theriault, Stephen and Wu, Jie
(2011)
Functorial homotopy decompositions of looped co-H spaces.
Mathematische Zeitschrift, 267 (1-2), .
(doi:10.1007/s00209-009-0613-9).
Abstract
In recent work of the first and third authors, functorial coalgebra decompositions of tensor algebras were geometrically realized to give functorial homotopy decompositions of loop suspensions. Later work by all three authors generalized this to functorial decompositions of looped coassociative co-H spaces. In this paper we use different methods which allow for the coassociative hypothesis to be removed.
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e-pub ahead of print date: 8 October 2009
Published date: February 2011
Keywords:
loop space decomposition, co-h space
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 341253
URI: http://eprints.soton.ac.uk/id/eprint/341253
ISSN: 0025-5874
PURE UUID: 400d4007-55f0-4a00-a2a5-a4e6db14f8bc
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Date deposited: 18 Jul 2012 13:47
Last modified: 15 Mar 2024 03:45
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Contributors
Author:
Paul Selick
Author:
Jie Wu
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