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Localized stable homotopy of some classifying spaces

Published online by Cambridge University Press:  24 October 2008

Victor Snaith
Victor Snaith
Affiliation:
The University of Western Ontario, London, Ontario, Canada
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Extract

In this note I will give new, simplified proofs of some of the results announced in (18) and proved in ((19), I, § 4, II, §§ 2, 9).These results mostly date from 1975/6 at which time they were proved using my crude stable decomposition of ωn σnX (20) and differential-geometric techniques with the Becker-Gottlieb transfer. Since then more systematic approaches have been developed towards the stable decompositions ((4); (5); (6); (10); (12)) and towards the transfer ((7), I and II; (8)). Actually, the system-atization of the stable decompositions was already latent in (15) if only I had realized it!

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 89 , Issue 2 , March 1981 , pp. 325 - 330
Copyright
Copyright © Cambridge Philosophical Society 1981

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