Cocycle
From Wikipedia, the free encyclopedia
A cocycle refers to any one of the following:
- A closed cochain in algebraic topology is called a cocycle.[1]
- A particular type of map in an autonomous dynamical system; see Oseledec theorem.
Let G be a graph with vertex set V. A cut is a partition S = {X, X'} of V into two nonempty subsets. We denote the set of all edges incident with one vertex in X and one vertex in X' by E(S) or E(X, X'); and any such edge set is called a cocycle.
There is also a meaning in group cohomology.
See also
- Čech cohomology
- Cocycle class
- Cocycle condition
Notes
- ↑ Warner, Frank W. (1983). Foundations of Differentiable Manifolds and Lie Groups. page 173
References
- Warner, Frank W. (1983). Foundations of Differentiable Manifolds and Lie Groups. New York: Springer. ISBN 0-387-90894-3.
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