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Unstable homotopy classification of

Published online by Cambridge University Press:  24 October 2008

John Martino  and
Stewart Priddy
John Martino
Affiliation:
Department of Mathematics and Statistics, University of Western Michigan, Kalamazoo, MI 49008, USA
Stewart Priddy
Affiliation:
Department of Mathematics, Northwestern University, Evanston, IL 60208, USA
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Extract

For nilpotent spaces p-completion is well behaved and reasonably well understood. By p–completion we mean Bousfield–Kan completion with respect to the field Fp [BK]. For non-nilpotent spaces the completion process often has a chaotic effect, this is true even for small spaces. One knows, however, that the classifying space of a compact Lie group is Fp-good even though it is usually non-nilpotent.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 1 , January 1996 , pp. 119 - 137
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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