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surjective 形

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surjective 数学

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英语

The codomain affects whether a function is a surjection, in that the function is surjective if and only if its codomain equals its image. en.wikipedia.org

For in that case and its inverse preserve so must be surjective. en.wikipedia.org

They map the upper half-plane to itself (or to a real constant), but are not necessarily injective or surjective. en.wikipedia.org

More generally, the term "motion" is a synonym for surjective isometry in metric geometry, including elliptic geometry and hyperbolic geometry. en.wikipedia.org

An epimorphism is a surjective homomorphism, that is, a homomorphism which is "onto" as a function. en.wikipedia.org

A surjective open map is not necessarily a closed map, and likewise a surjective closed map is not necessarily an open map. en.wikipedia.org

A "subdirect product" is a subalgebra of the direct product such that all projection maps are surjective. en.wikipedia.org

In the dual point of view, an injective map corresponds to a surjection of sheaves, and a surjective map corresponds to an injection of sheaves. en.wikipedia.org

In some important cases, for example finite fields, is surjective. en.wikipedia.org

Many authors in abstract algebra and universal algebra define an epimorphism simply as an "onto" or surjective homomorphism. en.wikipedia.org

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