The Whitehead products and powers in -topology

Authors:
K. A. Hardie, H. J. Marcum and N. Oda

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

Published electronically:
October 18, 2002

MathSciNet review:
1937433

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Abstract | References | Similar Articles | Additional Information

Abstract: We initiate a study of -topology. This is a modification of ordinary topology in which morphisms exist after smashing with a fixed space . Several classical topics are considered in this setting, *inter alia* Whitehead products, Hopf invariants and the -- sequence. The main emphasis is on detection of non-trivial elements in the -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

DOI:
https://doi.org/10.1090/S0002-9939-02-06833-8

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

Article copyright:
© Copyright 2002
American Mathematical Society