#### 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