Linked from

The 18 pages that link to Homological algebra, each with the reason it gives.

• Exact sequenceNarrower topic: Exact sequences are its basic language for relating kernels, quotients, and derived invariants.

• Chain complexNarrower topic: Chain complexes are its central organizing objects.

• Jean-Pierre SerreNarrower topic: Serre’s spectral sequences and homological methods grew from this framework.

• Abelian categoryNarrower topic: Abelian categories provide a general setting for its standard constructions.

• Henri CartanNarrower topic: Cartan’s work helped establish this framework as a language for topology and algebra.

• Snake lemmaNarrower topic: The Snake lemma is a basic theorem in this field.

• Five lemmaNarrower topic: The five lemma is a foundational diagram lemma in this field.

• Nine lemmaNarrower topic: The Nine lemma is a basic diagram result within this broader subject.

• Eilenberg–Zilber theoremNarrower topic: The theorem is a foundational comparison result in this broader subject.

• Zig-zag lemmaNarrower topic: The lemma is a basic method for transferring exactness into homology.