Algebraic and Geometric Topology 5 (2005), paper no. 7, pages 119-128.

Hopf algebras up to homotopy and the Bockstein spectral sequence

Jonathan Scott

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

AMS subject classification. Primary: 16W30. Secondary: 57T05, 55T99.

DOI: 10.2140/agt.2005.5.119

E-print: arXiv:math.AT/0412207

Submitted: 10 December 2004. (Revised: 24 January 2005.) Accepted: 27 January 2005. Published: 7 February 2005.

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Jonathan Scott
Institut de Geometrie, Algebre, et Topologie
Ecole Polytechnique Federale de Lausanne
1015 Lausanne, Switzerland

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