Geodesic
Hopf algebras up to homotopy and the Bockstein spectral sequence
Scott, Jonathan1
1Institut de Géométrie, Algèbre, et Topologie, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 119-128
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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.

DOI : 10.2140/agt.2005.5.119
Keywords: Hopf algebras, Bockstein spectral sequence

Scott, Jonathan  1

1 Institut de Géométrie, Algèbre, et Topologie, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland 
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Scott, Jonathan. Hopf algebras up to homotopy and the Bockstein spectral sequence. Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 119-128. doi: 10.2140/agt.2005.5.119

[1] J F Adams, On the cobar construction, Proc. Nat. Acad. Sci. U.S.A. 42 (1956) 409

[2] D J Anick, Hopf algebras up to homotopy, J. Amer. Math. Soc. 2 (1989) 417

[3] W Browder, Torsion in H–spaces, Ann. of Math. (2) 74 (1961) 24

[4] S Halperin, Universal enveloping algebras and loop space homology, J. Pure Appl. Algebra 83 (1992) 237

[5] J W Milnor, J C Moore, On the structure of Hopf algebras, Ann. of Math. (2) 81 (1965) 211

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