Combinatorial description of the homotopy groups of wedge of spheres

Zhao, Hao; Wang, Xiangjun

doi:10.1090/S0002-9939-08-09505-1

Combinatorial description of the homotopy groups of wedge of spheres
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by Hao Zhao and Xiangjun Wang PDF

Proc. Amer. Math. Soc. 137 (2009), 371-380 Request permission

Abstract:

In this paper, we give a combinatorial description of the homotopy groups of a wedge of spheres. This result generalizes that of J. Wu on the homotopy groups of a wedge of 2-spheres. In particular, the higher homotopy groups of spheres are given as the centers of certain combinatorially described groups with special generators and relations.

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