Hopf algebras up to homotopy and the Bockstein spectral sequence

Scott, Jonathan

doi:10.2140/agt.2005.5.119

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Hopf algebras up to homotopy and the Bockstein spectral sequence

Jonathan Scott

Algebraic & Geometric Topology 5 (2005) 119–128

DOI: 10.2140/agt.2005.5.119

arXiv: math.AT/0412207

Abstract

Anick proved that every $q$ –mild Hopf algebra up to homotopy is isomorphic to a primitively-generated chain Hopf algebra. We provide a new proof, that involves extensive use of the Bockstein spectral sequence.

Keywords

Hopf algebras, Bockstein spectral sequence

Mathematical Subject Classification 2000

Primary: 16W30

Secondary: 57T05, 55T99

References

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Publication

Received: 10 December 2004

Revised: 24 January 2005

Accepted: 27 January 2005

Published: 7 February 2005

Authors

Jonathan Scott
Institut de Géométrie, Algèbre, et Topologie École Polytechnique Fédérale de Lausanne 1015 Lausanne Switzerland

Volume 5, issue 1 (2005)