Please use this identifier to cite or link to this item:
https://doi.org/10.1017/S0308210512000480
DC Field | Value | |
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dc.title | Suspension splittings and James-Hopf invariants | |
dc.contributor.author | Grbić, J. | |
dc.contributor.author | Theriault, S. | |
dc.contributor.author | Wu, J. | |
dc.date.accessioned | 2014-10-28T02:46:50Z | |
dc.date.available | 2014-10-28T02:46:50Z | |
dc.date.issued | 2014-02 | |
dc.identifier.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 | |
dc.identifier.issn | 03082105 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/104233 | |
dc.description.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. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1017/S0308210512000480 | |
dc.source | Scopus | |
dc.type | Article | |
dc.contributor.department | MATHEMATICS | |
dc.description.doi | 10.1017/S0308210512000480 | |
dc.description.sourcetitle | Proceedings of the Royal Society of Edinburgh Section A: Mathematics | |
dc.description.volume | 144 | |
dc.description.issue | 1 | |
dc.description.page | 87-108 | |
dc.identifier.isiut | 000338293400005 | |
Appears in Collections: | Staff Publications |
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