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In mathematics, specifically in category theory, a functor is essentially surjective (or dense) if each object of is isomorphic to an object of the form for some object of . Any functor that is part of an equivalence of categories is essentially surjective. As a partial converse, any full and faithful functor that is essentially surjective is part of an equivalence of categories.

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  • Wesentlich surjektiver Funktor (de)
  • Essentially surjective functor (en)
  • Foncteur essentiellement surjectif (fr)
  • 本質的全射 (ja)
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  • Ein wesentlich surjektiver Funktor ist ein Begriff aus dem mathematischen Teilgebiet der Kategorientheorie. (de)
  • In mathematics, specifically in category theory, a functor is essentially surjective (or dense) if each object of is isomorphic to an object of the form for some object of . Any functor that is part of an equivalence of categories is essentially surjective. As a partial converse, any full and faithful functor that is essentially surjective is part of an equivalence of categories. (en)
  • En théorie des catégories, un foncteur est dit essentiellement surjectif si chaque objet de la catégorie d'arrivée est isomorphe à un objet image du foncteur. (fr)
  • 圏論において，関手 F: C → D が本質的全射（ほんしつてきぜんしゃ，英: essentially surjective あるいは dense）であるとは，D の任意の対象 d に対して，C のある対象 c が存在して，d と Fc が同型であることをいう． (ja)
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  • essentially+surjective+functor (en)
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  • Essentially surjective functor (en)
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  • Ein wesentlich surjektiver Funktor ist ein Begriff aus dem mathematischen Teilgebiet der Kategorientheorie. (de)
  • In mathematics, specifically in category theory, a functor is essentially surjective (or dense) if each object of is isomorphic to an object of the form for some object of . Any functor that is part of an equivalence of categories is essentially surjective. As a partial converse, any full and faithful functor that is essentially surjective is part of an equivalence of categories. (en)
  • En théorie des catégories, un foncteur est dit essentiellement surjectif si chaque objet de la catégorie d'arrivée est isomorphe à un objet image du foncteur. (fr)
  • 圏論において，関手 F: C → D が本質的全射（ほんしつてきぜんしゃ，英: essentially surjective あるいは dense）であるとは，D の任意の対象 d に対して，C のある対象 c が存在して，d と Fc が同型であることをいう． (ja)
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