# 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* {http://planetphysics.us/encyclopedia/IsomorphicObjectsUnderAnIsomorphism.html}.}
\end{theorem}

## All SourcesEdit

^{[1]}

## ReferencesEdit

- ↑
^{1.0}^{1.1}Spanier, E. H.: 1966,*Algebraic Topology*, McGraw Hill: New York.