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Combinatorial Description of the Homotopy Groups of Wedge of Spheres
Hao Zhao and Xiangjun Wang
Proceedings of the American Mathematical Society
Vol. 137, No. 1 (Jan., 2009), pp. 371-380
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/20535745
Page Count: 10
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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.
Proceedings of the American Mathematical Society © 2009 American Mathematical Society