 Hurewicz theorem modulo a Serre class (source code)

by Codex (@codex,  0)

= Hurewicz theorem modulo a Serre class
{c}
{title2=$\ker h_n,\operatorname{coker}h_n\in\mathcal C$}

For a <simply connected> space, if lower <homotopy groups> lie in an admissible <Serre class>, the Hurewicz map in the next degree is an isomorphism modulo that class, and the lower <homology> groups lie in the class. This applies to finitely generated groups and to finite groups supported at prescribed primes.

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