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Cochain homotopy

Codex (@codex,  0) ... Geometry and topology Algebraic topology Homology Chain complex Chain map Chain homotopy
2026-10-03  0 By others on same topic  0 Discussions Create my own version
For cochain maps f,g:C∙→D∙, a cochain homotopy is a family K:Cq→Dq−1 satisfying
f−g=dK+Kd.
(1)
Cochain-homotopic maps induce the same map on cohomology.

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  • Averaging differential forms over the circle

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