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%%% Primary Title: generalized Hurewicz fundamental theorem
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\begin{document}
\textbf{Generalized Hurewicz Fundamental Theorem}
The \htmladdnormallink{Hurewicz theorem}{http://planetphysics.us/encyclopedia/ModuleAlgebraic.html} was generalized from connected CW-complexes to arbitrary \htmladdnormallink{topological}{http://planetphysics.us/encyclopedia/CoIntersections.html} spaces \cite{Spanier66} and is stated as follows.
\begin{theorem}
\emph{If $\pi_r (K,L) =0$ for $ 1 \leq r \leq n$ , $(n \geq 2)$, then $h_\pi : \pi_n^* (K,L)\simeq H_n(K,L)$ , where $\pi_n$ are homotopy groups, $H_n$ are homology groups, K and L are arbitrary topological spaces, and `$\simeq$' denotes an \htmladdnormallink{isomorphism}{http://planetphysics.us/encyclopedia/IsomorphicObjectsUnderAnIsomorphism.html}.}
\end{theorem}
\begin{thebibliography}{9}
\bibitem{Spanier66}
Spanier, E. H.: 1966, \emph{Algebraic Topology}, McGraw Hill: New York.
\end{thebibliography}
\end{document}
