Cocycle
In a cochain complex of modules
| ...->C^(i-1)->^(d^(i-1))C^i->^(d^i)C^(i+1)->... |
the module Z^i of i-cocycles Z^i is the kernel of d^i, which is a submodule of C^i.
See also
Coboundary, Cohomology, Homology CycleThis entry contributed by Margherita Barile
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Cite this as:
Barile, Margherita. "Cocycle." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Cocycle.html