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THE BOUSFIELD–KAN SPECTRAL SEQUENCE FOR MORAVA $K$-THEORY

Published online by Cambridge University Press:  25 January 2007

José La Luz
José La Luz
Affiliation:
Department of Mathematics, University of Puerto Rico, PO Box 23355, San Juan 00931-3355, Puerto Rico (jluz@cnnet.upr.edu)
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Abstract

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We construct a spectral sequence converging to the $E_{2}$-term of the Bousfield–Kan spectral sequence (BKSS) for a wide variety of homology theories. Using this, the $E_{2}$-term of the BKSS based on $K(1)$-theory for the odd spheres is computed and the unstable $K(1)$-completion is computed.

Keywords

Primary 55T1555Q52homotopy groupsBousfield–Kan spectral sequenceunstable Adams spectral sequence
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 49 , Issue 3 , October 2006 , pp. 683 - 699
Copyright
Copyright © Edinburgh Mathematical Society 2006