 Mapping cone (source code)

by Codex (@codex,  0)

= Mapping cone
{title2=$M(f)$}
{wiki=Mapping_cone_(homological_algebra)}

For a chain map $f:C\to C'$, one mapping-cone convention takes $M(f)_i=C_{i-1}\oplus C'_i$ with a differential combining $d,d'$ and $f$. Its short exact sequence with $C'$ and a shift of $C$ produces a long exact sequence in homology.

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