Abstract
We study a pairing π(ΣmW,X) × π(ΣnW,X) → π(Σm+n−1W,X) which specializes to the classical Whitehead product operation in the case W=S0. If W is a suspension the operation is always trivial, but if W is not a suspension and a product vanishes then a version of the Hopf construction gives rise to an element that can be detected by a generalized Hopf invariant.
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References
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© 1989 Springer-Verlag
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Hardie, K., Jansen, A. (1989). A whitehead product for track groups. In: Carlsson, G., Cohen, R., Miller, H., Ravenel, D. (eds) Algebraic Topology. Lecture Notes in Mathematics, vol 1370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085227
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DOI: https://doi.org/10.1007/BFb0085227
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51118-2
Online ISBN: 978-3-540-46160-9
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