## 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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## Additional Information

**K. A. Hardie**- Affiliation: Department of Mathematics, University of Cape Town, 7700 Rondebosch, South Africa
- Email: hardieka@iafrica.com
**H. J. Marcum**- Affiliation: Department of Mathematics, The Ohio State University at Newark, 1179 University Drive, Newark, Ohio 43055
- Email: marcum@math.ohio-state.edu
**N. Oda**- Affiliation: Department of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka 814-0180, Japan
- Email: odanobu@cis.fukuoka-u.ac.jp
- Received by editor(s): April 8, 2000
- Received by editor(s) in revised form: August 30, 2000
- Published electronically: October 18, 2002
- Additional Notes: The first author acknowledges support from the Foundation for Research Development and the University of Cape Town via the Topology and Category Theory Group.
- Communicated by: Ralph Cohen
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**131**(2003), 941-951 - MSC (2000): Primary 55Q15, 55Q20, 55Q25
- DOI: https://doi.org/10.1090/S0002-9939-02-06833-8
- MathSciNet review: 1937433