Effective Homotopy Method

The main idea of the effective homotopy method is the following: given some Kan simplicial sets K_1,\dots,K_n, a topological constructor \Phi produces a new simplicial set K. If solutions for the homotopical problems of the spaces K_1,\dots,K_n are known, then one should be able to build a solution for the homotopical problem of K, and this construction would allow us to compute the homotopy groups \pi_*(K).

Author: mathtuition88


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