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ISSN 1088-6850(e) ISSN 0002-9947(p)

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An alternative approach to homotopy operations

Author(s): Marcel Bökstedt; Iver Ottosen
Journal: Trans. Amer. Math. Soc. 358 (2006), 3985-3995.
MSC (2000): Primary 18G30, 18G55
Posted: March 1, 2006
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Abstract | References | Similar articles | Additional information

Abstract: We give a particular choice of the higher Eilenberg-Mac Lane maps by a recursive formula. This choice leads to a simple description of the homotopy operations for simplicial ${\bf Z}/2$ -algebras.

References:

1.: M. Bökstedt and I. Ottosen, A splitting result for the free loop spaces of spheres and projective spaces, Quart. J. Math. 56 (2005), 443-472. MR 2182460
2.: W. G. Dwyer, Homotopy Operations for Simplicial Commutative Algebras, Trans. Amer. Math. Soc. 260 (1980), 421-435. MR 0574789 (81e:55027)
3.: P. G. Goerss, On the André-Quillen Cohomology of Commutative $\mathbb{F}_2$ -algebras, Astérisque 186 (1990). MR 1089001 (92b:18012)
4.: S. Mac Lane, Homology, Springer-Verlag, Berlin-New York, 1967.MR 0349792 (50:2285)


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