| dbo:abstract |
In mathematics, specifically in algebraic topology and algebraic geometry, an inverse image functor is a contravariant construction of sheaves; here “contravariant” in the sense given a map , the inverse image functor is a functor from the category of sheaves on Y to the category of sheaves on X. The direct image functor is the primary operation on sheaves, with the simplest definition. The inverse image exhibits some relatively subtle features. (en) Функтор обратного образа — это ковариантная конструкция пучков. Функтор прямого образа является первичной операцией на пучках, с простым определением. Обратный образ обладает более тонкими свойствами. (ru) Обернений образ пучка — коваріантна конструкція у теорії пучків, що в певному значенні є оберненою до побудови прямого образа пучка. (uk) |
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dbr:Pullback_(category_theory) dbr:Algebraic_topology dbr:Sheaf_associated_to_the_presheaf dbr:Morphisms dbr:Functor dbr:Stalk_(sheaf) dbr:Sheaf_of_modules dbr:Adjoint_functor dbr:Algebraic_geometry dbr:Flat_morphism dbr:Direct_image_functor dbr:Direct_limit dbc:Algebraic_geometry dbc:Sheaf_theory dbr:Continuous_function_(topology) dbr:Category_(mathematics) dbr:Scheme_(mathematics) dbr:Sheaf_(mathematics) dbr:Exact_functor dbr:Universal_property dbr:Springer-Verlag dbr:Functoriality dbr:Covariance_and_contravariance_of_functors dbr:Direct_image dbr:Locally_ringed_space dbr:Colimit dbr:Presheaf |
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dbc:Algebraic_geometry dbc:Sheaf_theory |
| rdfs:comment |
In mathematics, specifically in algebraic topology and algebraic geometry, an inverse image functor is a contravariant construction of sheaves; here “contravariant” in the sense given a map , the inverse image functor is a functor from the category of sheaves on Y to the category of sheaves on X. The direct image functor is the primary operation on sheaves, with the simplest definition. The inverse image exhibits some relatively subtle features. (en) Функтор обратного образа — это ковариантная конструкция пучков. Функтор прямого образа является первичной операцией на пучках, с простым определением. Обратный образ обладает более тонкими свойствами. (ru) Обернений образ пучка — коваріантна конструкція у теорії пучків, що в певному значенні є оберненою до побудови прямого образа пучка. (uk) |
| rdfs:label |
Inverse image functor (en) Функтор обратного образа (ru) Обернений образ пучка (uk) |
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freebase:Inverse image functor wikidata:Inverse image functor dbpedia-ru:Inverse image functor dbpedia-uk:Inverse image functor https://global.dbpedia.org/id/4nrQu |
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