Volume 5, issue 1 (2005)

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Hopf algebras up to homotopy and the Bockstein spectral sequence

Jonathan Scott

Algebraic & Geometric Topology 5 (2005) 119–128

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
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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