Cellular chain complex (source code)

= Cellular chain complex
{title2=$C_*^{\mathrm{cell}}(X)$}

= Cellular homology
{synonym}

For a CW complex, $C_n^{\mathrm{cell}}(X)=H_n(X^n,X^{n-1})$ is freely generated by the oriented $n$-cells. Connecting maps of skeleton pairs define its differential.