Cohomomorphism

/kəʊhəʊməˈmɔːfɪzəm/

/koʊhəʊməˈmɔrfɪzəm/

Translation of "cohomomorphism" into Russian

Noun

/kəʊhəʊməˈmɔːfɪzəm/

/koʊhəʊməˈmɔrfɪzəm/

cohomomorphism

cohomomorphisms pl

когомоморфизм

The cohomomorphism is a crucial concept in algebraic topology.

Когомоморфизм является ключевым понятием в алгебраической топологии.

Noun

/kəʊhəʊməˈmɔːfɪzəm/

/koʊhəʊməˈmɔrfɪzəm/

A homomorphism between cohomology groups, usually the map induced on cohomology by a continuous (or smooth) map between topological spaces.

The cohomomorphism f*: Hⁿ(Y) → Hⁿ(X) allowed us to compare the cohomological properties of the two manifolds.

A morphism between coalgebras (or comonoids) in a monoidal category that preserves the comultiplication and counit.

Any cohomomorphism of coalgebras respects the coassociative structure by definition.

Adjective

/kəʊhəʊməˈmɔːfɪzəm/

/koʊhəʊməˈmɔrfɪzəm/

Relating to or involving a cohomomorphism.

The existence of a cohomomorphism object is crucial for this construction.