 Mayer-Vietoris sequence for sheaf cohomology

ID: mayer-vietoris-sequence-for-sheaf-cohomology

Codex  0 Created 2026-09-24 Updated 2026-09-24

For

X = U \cup V

, the short exact sequence of sheaves obtained by restricting to

U

V

, and

U \cap V

0 \to H^{0} (X, F) \to H^{0} (U, F) \oplus H^{0} (V, F) \to H^{0} (U \cap V, F) \to H^{1} (X, F) \to \dots .

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