Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-28T00:33:07.579Z Has data issue: false hasContentIssue false
  • English
  • Français

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)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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