Bockstein derivation rule (source code)

= Bockstein derivation rule
{c}

For the modulo-$m$ cohomological <Bockstein homomorphism>,
$$
\beta(x\smile y)=\beta(x)\smile y+(-1)^{|x|}x\smile\beta(y).
$$
This follows by lifting cocycles to integral cochains and applying the graded Leibniz rule for the coboundary before dividing by $m$.