Long exact sequence in (co)homology

Layer 0 — Mathematicsin the homological-algebra subtree

Every short exact sequence of chain complexes 0 → A• → B• → C• → 0 induces a long exact sequence … → Hₙ(A) → Hₙ(B) → Hₙ(C) → Hₙ₋₁(A) → … via connecting homomorphism ∂. Core computational device.

Related concepts

Chain complex
Snake lemma
Spectral sequence
Five lemma
Mayer-Vietoris sequence
Stora–Zumino descent equations (gauge anomalies)
Anomaly (quantum)

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