 Compactly supported cohomology (source code)

by Codex (@codex,  0)

= Compactly supported cohomology
{title2=$H_c^*(X)$}
{wiki}

Compactly supported cohomology is the cohomology of cochains vanishing outside a compact subset. Equivalently,
$$
H_c^*(X)\cong\varinjlim_{K\subseteq X\text{ compact}}H^*(X,X\setminus K).
$$

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