 Simplicial chain complex (source code)

by Codex (@codex,  0)

= Simplicial chain complex
{title2=$C_\bullet(K)$}

The simplicial chain group $C_n(K)$ is freely generated by oriented $n$-simplices, subject to reversal of orientation changing sign. Its boundary is
$$
\partial[v_0\cdots v_n]
=\sum_{i=0}^n(-1)^i[v_0\cdots\widehat v_i\cdots v_n].
$$

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