A practical approach to the homotopy groups of spheres
Résumé
In the paper we utilize correspondence between the i-th homotopy group of (r+1)-sphere and the i-th homotopy group of the wedge sum of i (r+1)-spheres based on Hilton's theorem (the homotopy groups of such wedge sums consolidate all information about homotopy groups of spheres). This leads to a practical method for computing the homotopy groups of spheres. Moreover, it reduces the computation of the homotopy groups of (r+1)-sphere to a combinatorial group theory question.
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