Functorial decompositions of looped coassociative co-H spaces

P. Selick; Stephen D Theriault; J. Wu

doi:10.4153/CJM-2006-036-3

Functorial decompositions of looped coassociative co-H spaces

P. Selick, Stephen D Theriault, J. Wu

Mathematical Science

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

Selick and Wu gave a functorial decomposition of Omega Sigma X for path-connected, p-local CW-complexes X which obtained the smallest nontrivial functorial retract A(min)(X) of Omega Sigma X. This paper uses methods developed by the second author in order to extend such functorial decompositions to the loops on coassociative co-H spaces.

Original language	English
Pages (from-to)	877-896
Number of pages	20
Journal	Canadian journal of mathematics. Journal canadien de mathématiques
Volume	58
Issue number	4
DOIs	https://doi.org/10.4153/CJM-2006-036-3
Publication status	Published - Aug 2006

Keywords

homotopy decomposition
coassociative co-H spaces

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10.4153/CJM-2006-036-3

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abstract = "Selick and Wu gave a functorial decomposition of Omega Sigma X for path-connected, p-local CW-complexes X which obtained the smallest nontrivial functorial retract A(min)(X) of Omega Sigma X. This paper uses methods developed by the second author in order to extend such functorial decompositions to the loops on coassociative co-H spaces.",

keywords = "homotopy decomposition, coassociative co-H spaces",

author = "P. Selick and Theriault, {Stephen D} and J. Wu",

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AU - Selick, P.

AU - Theriault, Stephen D

AU - Wu, J.

PY - 2006/8

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N2 - Selick and Wu gave a functorial decomposition of Omega Sigma X for path-connected, p-local CW-complexes X which obtained the smallest nontrivial functorial retract A(min)(X) of Omega Sigma X. This paper uses methods developed by the second author in order to extend such functorial decompositions to the loops on coassociative co-H spaces.

AB - Selick and Wu gave a functorial decomposition of Omega Sigma X for path-connected, p-local CW-complexes X which obtained the smallest nontrivial functorial retract A(min)(X) of Omega Sigma X. This paper uses methods developed by the second author in order to extend such functorial decompositions to the loops on coassociative co-H spaces.

KW - homotopy decomposition

KW - coassociative co-H spaces

U2 - 10.4153/CJM-2006-036-3

DO - 10.4153/CJM-2006-036-3

M3 - Article

SN - 0008-414X

VL - 58

SP - 877

EP - 896

JO - Canadian journal of mathematics. Journal canadien de mathématiques

JF - Canadian journal of mathematics. Journal canadien de mathématiques

IS - 4

ER -

Functorial decompositions of looped coassociative co-H spaces

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Keywords

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