Homology Cycle
In a chain complex of modules
| ...->C_(i+1)->^(d_(i+1))C_i->^(d_i)C_(i-1)->... |
the module Z_i of i-cycles is the kernel of d_i, which is a submodule of C_i.
See also
Cocycle, Homology, Homology BoundaryThis entry contributed by Margherita Barile
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Cite this as:
Barile, Margherita. "Homology Cycle." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/HomologyCycle.html