arXiv:1108.3055 Abstract | arXiv Analytics

arXiv:1108.3055 [math.AT]Abstract References Reviews Resources

A combinatorial description of homotopy groups of spheres

Published 2011-08-15Version 1

We give a combinatorial description of general homotopy groups of $k$-dimensional spheres with $k\geq3$ as well as those of Moore spaces. For $n>k\geq 3,$ we construct a finitely generated group defined by explicit generators and relations, whose center is exactly $\pi_n(S^k)$.

Comments: 27 pages, 1 figure

Categories: math.AT, math.GR

Subjects: 55Q40, 55Q20, 20F36

Keywords: combinatorial description, general homotopy groups, dimensional spheres, moore spaces, explicit generators

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