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|Title:||Suspension splittings and James-Hopf invariants|
|Citation:||Grbić, J., Theriault, S., Wu, J. (2014-02). Suspension splittings and James-Hopf invariants. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 144 (1) : 87-108. ScholarBank@NUS Repository. https://doi.org/10.1017/S0308210512000480|
|Abstract:||James constructed a functorial homotopy decomposition for path-connected, p ointed CW-complexes X. We generalize this to a p-local functorial decomposition of ΣA, where A is any functorial retract of a looped co-H-space. This is used to construct Hopf invariants in a more general context. In addition, when A = ΩY is the loops space of a co-H-space, we show that the wedge summands of ΣΩY further functorially decompose by using an action of an appropriate symmetric group. As a valuable example, we give an application to the theory of quasi-symmetric functions. © 2014 The Royal Society of Edinburgh.|
|Source Title:||Proceedings of the Royal Society of Edinburgh Section A: Mathematics|
|Appears in Collections:||Staff Publications|
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