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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 Boundary

This entry contributed by Margherita Barile

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Cite this as:

Barile, Margherita. "Homology Cycle." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/HomologyCycle.html

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