TOPICS
Search

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 Cycle

This entry contributed by Margherita Barile

Explore with Wolfram|Alpha

Cite this as:

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

Subject classifications