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- Constant_sheaf abstract "In mathematics, the constant sheaf on a topological space X associated to a set A is a sheaf of sets on X whose stalks are all equal to A. It is denoted by A or AX. The constant presheaf with value A is the presheaf that assigns to each open subset of X the value A, and all of whose restriction maps are the identity map A → A. The constant sheaf associated to A is the sheafification of the constant presheaf associated to A.In certain cases, the set A may be replaced with an object A in some category C (e.g. when C is the category of abelian groups, or commutative rings).Constant sheaves of abelian groups appear in particular as coefficients in sheaf cohomology.".
- Constant_sheaf thumbnail Constantpresheaf.png?width=300.
- Constant_sheaf wikiPageID "2783581".
- Constant_sheaf wikiPageLength "5788".
- Constant_sheaf wikiPageOutDegree "26".
- Constant_sheaf wikiPageRevisionID "620563343".
- Constant_sheaf wikiPageWikiLink Abelian_group.
- Constant_sheaf wikiPageWikiLink Category:Sheaf_theory.
- Constant_sheaf wikiPageWikiLink Category_(mathematics).
- Constant_sheaf wikiPageWikiLink Category_of_abelian_groups.
- Constant_sheaf wikiPageWikiLink Category_of_commutative_rings.
- Constant_sheaf wikiPageWikiLink Category_of_rings.
- Constant_sheaf wikiPageWikiLink Connected_space.
- Constant_sheaf wikiPageWikiLink Discrete_space.
- Constant_sheaf wikiPageWikiLink Discrete_topology.
- Constant_sheaf wikiPageWikiLink File:Constantpresheaf.png.
- Constant_sheaf wikiPageWikiLink File:Constantsheaf.png.
- Constant_sheaf wikiPageWikiLink File:Constantsheaf_intermediate_step.png.
- Constant_sheaf wikiPageWikiLink Gluing_axiom.
- Constant_sheaf wikiPageWikiLink Inclusion_map.
- Constant_sheaf wikiPageWikiLink Inverse_image_functor.
- Constant_sheaf wikiPageWikiLink Inverse_image_sheaf.
- Constant_sheaf wikiPageWikiLink Map_(mathematics).
- Constant_sheaf wikiPageWikiLink Mathematics.
- Constant_sheaf wikiPageWikiLink Object_(category_theory).
- Constant_sheaf wikiPageWikiLink Open_set.
- Constant_sheaf wikiPageWikiLink Presheaf.
- Constant_sheaf wikiPageWikiLink Set_(mathematics).
- Constant_sheaf wikiPageWikiLink Sheaf_(mathematics).
- Constant_sheaf wikiPageWikiLink Sheaf_cohomology.
- Constant_sheaf wikiPageWikiLink Sheaf_space.
- Constant_sheaf wikiPageWikiLink Sheafification.
- Constant_sheaf wikiPageWikiLink Stalk_(sheaf).
- Constant_sheaf wikiPageWikiLink Topological_space.
- Constant_sheaf wikiPageWikiLink File:2_point_discrete_space.png.
- Constant_sheaf wikiPageWikiLinkText "constant sheaf".
- Constant_sheaf hasPhotoCollection Constant_sheaf.
- Constant_sheaf wikiPageUsesTemplate Template:=.
- Constant_sheaf wikiPageUsesTemplate Template:Citation.
- Constant_sheaf wikiPageUsesTemplate Template:Hartshorne_AG.
- Constant_sheaf wikiPageUsesTemplate Template:Refimprove.
- Constant_sheaf wikiPageUsesTemplate Template:Underline.
- Constant_sheaf subject Category:Sheaf_theory.
- Constant_sheaf hypernym Sheaf.
- Constant_sheaf type Article.
- Constant_sheaf type Article.
- Constant_sheaf comment "In mathematics, the constant sheaf on a topological space X associated to a set A is a sheaf of sets on X whose stalks are all equal to A. It is denoted by A or AX. The constant presheaf with value A is the presheaf that assigns to each open subset of X the value A, and all of whose restriction maps are the identity map A → A.".
- Constant_sheaf label "Constant sheaf".
- Constant_sheaf sameAs 상수층.
- Constant_sheaf sameAs m.04ggh1p.
- Constant_sheaf sameAs Q5163667.
- Constant_sheaf sameAs Q5163667.
- Constant_sheaf wasDerivedFrom Constant_sheaf?oldid=620563343.
- Constant_sheaf depiction Constantpresheaf.png.
- Constant_sheaf isPrimaryTopicOf Constant_sheaf.