PlanetPhysics/Generalized Hurewicz Fundamental Theorem

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Generalized Hurewicz Fundamental Theorem

The Hurewicz theorem was generalized from connected CW-complexes to arbitrary topological spaces [1] and is stated as follows.

\begin{theorem} If for , , then , where are homotopy groups, are homology groups, K and L are arbitrary topological spaces, and `' denotes an \htmladdnormallink{isomorphism {}.} \end{theorem}

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  1. 1.0 1.1 Spanier, E. H.: 1966, Algebraic Topology , McGraw Hill: New York.