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A Relation Between S1 and S3-Invariant Homotopy In The Stable Range

Published online by Cambridge University Press:  20 November 2018

Shirley M. F. Gilbert  and
Peter Zvengrowski
Shirley M. F. Gilbert
Affiliation:
The University of Calgary Calgary, Alberta
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Abstract

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For any X and any q > 0, one has natural inclusions where the groups S1 and S3 act on S4q-1 in the standard way and are the G-invariant homotopy subsets, G = S1 or G = S3. It is proved here that for any space X of the homotopy type of a CW-complex and for π4q-1 (X) in the c3 cl stable range, the inclusion is m fact an equality when localized away from the prime 2.

Keywords

55Q4055Q4555Q52.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 1 , 01 March 1992 , pp. 75 - 80
Copyright
Copyright © Canadian Mathematical Society 1992

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