The Relative Hurewicz Theorem is a fundamental result in algebraic topology that connects homotopy groups of a pair of topological spaces to their relative homology groups. It states that, under certain conditions, the inclusion map from the relative homology of a pair into the homology of the larger space induces an isomorphism on the first homotopy group when certain assumptions are met. This theorem plays a crucial role in understanding the relationship between topology and algebraic structures in pairs of spaces.
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