On generalized Whitehead products

Gray, Brayton

doi:10.1090/S0002-9947-2011-05392-4

On generalized Whitehead products
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by Brayton Gray

Trans. Amer. Math. Soc. 363 (2011), 6143-6158

DOI: https://doi.org/10.1090/S0002-9947-2011-05392-4

Published electronically: May 4, 2011

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Abstract:

We define a symmetric monodical pairing $G \circ H$ among simply connected co-H spaces $G$ and $H$ with the property that $S(G \circ H)$ is equivalent to the smash product $G \wedge H$ as co-H spaces. We further generalize the Whitehead product map to a map $G \circ H \rightarrow G \vee H$ whose mapping cone is the cartesian product.

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