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Exact couple

 Home Mathematics Fields of mathematics Fields of abstract algebra Homological algebra Spectral sequences
 0 By others on same topic  0 Discussions  1970-01-01  See my version
The term "Exact couple" can refer to different concepts depending on the context. 1. **Mathematics**: In mathematics, particularly in the field of algebra and topology, an "exact couple" refers to a specific type of diagram used in homological algebra that combines two different chain complexes. Exact couples are used to construct spectral sequences, which are tools that allow mathematicians to compute homology groups by breaking complex problems into simpler parts.

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  1. Spectral sequences
  2. Homological algebra
  3. Fields of abstract algebra
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