The Whitehead products and powers in 𝑊-topology

Hardie, K.; Marcum, H.; Oda, N.

doi:10.1090/S0002-9939-02-06833-8

The Whitehead products and powers in $W$-topology
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by K. A. Hardie, H. J. Marcum and N. Oda PDF

Proc. Amer. Math. Soc. 131 (2003), 941-951 Request permission

Abstract:

We initiate a study of $W$-topology. This is a modification of ordinary topology in which morphisms exist after smashing with a fixed space $W$. Several classical topics are considered in this setting, inter alia Whitehead products, Hopf invariants and the $E$-$H$-$\Delta$ sequence. The main emphasis is on detection of non-trivial elements in the $W$-homotopy groups of spheres.

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