Equimorphism

/ˌɛkwɪˈmɔːfɪzəm/

/ˌɛkwɪˈmɔrfɪzəm/

Translation of "equimorphism" into Russian

Noun

/ˌɛkwɪˈmɔːfɪzəm/

/ˌɛkwɪˈmɔrfɪzəm/

equimorphism

equimorphisms pl

эквиморфизм

In category theory, an equimorphism is a relation between objects that are isomorphic to each other.

В теории категорий эквиморфизм — это отношение между объектами, которые изоморфны друг другу.

Noun

/ˌɛkwɪˈmɔːfɪzəm/

/ˌɛkwɪˈmɔrfɪzəm/

In category theory, a morphism that is simultaneously a monomorphism and an epimorphism.

Any bijective function between sets can be regarded as an equimorphism in the category of sets.

The relation between two mathematical structures whereby each can be embedded into the other (mutual embeddability).

The dense linear orders (ℚ, ≤) and (ℝ, ≤) are equimorphic because each embeds in the other.

Adjective

/ˌɛkwɪˈmɔːfɪzəm/

/ˌɛkwɪˈmɔrfɪzəm/

Relating to or characteristic of equimorphism.

The equimorphism property does not hold for these topological spaces.