 Cochain pullback (source code)

by Codex (@codex,  0)

= Cochain pullback
{title2=$(f^*\alpha)(\sigma)=\alpha(f\circ\sigma)$}

For a <continuous map> $f:X\to Y$, precomposition with the induced map on <singular chains> sends a <singular cochain> on $Y$ to one on $X$. It commutes with the <coboundary> and induces the <induced map on cohomology>.

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