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Cocycle
UK
/ˈkəʊsaɪkəl/
US
/ˈkoʊsaɪkəl/
Translation of "cocycle" into Russian
cocycle
Noun
UK
/ˈkəʊsaɪkəl/
US
/ˈkoʊsaɪkəl/
cocycle
cocycles pl
косикл
The cocycle condition is an important concept in cohomology.
Условие косикла является важным понятием в когомологии.
Definitions
cocycle
Noun
UK
/ˈkəʊsaɪkəl/
US
/ˈkoʊsaɪkəl/
In mathematics, particularly in the context of algebraic topology and cohomology theory, a cocycle is a function that satisfies a specific condition related to the coboundary operator, often used to define cohomology classes.
The cocycle condition ensures that the function can be used to construct a cohomology class in the given topological space.
cocycle
Adjective
UK
/ˈkəʊsaɪkəl/
US
/ˈkoʊsaɪkəl/
Relating to or involving a cocycle or the cocycle condition.
We discussed the cocycle condition in our topology seminar.