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- Injective_sheaf abstract "In mathematics, injective sheaves of abelian groups are used to construct the resolutions needed to define sheaf cohomology (and other derived functors, such as sheaf Ext). There is a further group of related concepts applied to sheaves: flabby (flasque in French), fine, soft (mou in French), acyclic. In the history of the subject they were introduced before the 1957 \"Tohoku paper\" of Alexander Grothendieck, which showed that the abelian category notion of injective object sufficed to found the theory. The other classes of sheaves are historically older notions. The abstract framework for defining cohomology and derived functors does not need them. However, in most concrete situations, resolutions by acyclic sheaves are often easier to construct. Acyclic sheaves therefore serve for computational purposes, for example the Leray spectral sequence.".
- Injective_sheaf wikiPageExternalLink sheaf-cohomology-and-injective-resolutions.
- Injective_sheaf wikiPageID "1547359".
- Injective_sheaf wikiPageLength "6757".
- Injective_sheaf wikiPageOutDegree "37".
- Injective_sheaf wikiPageRevisionID "695121129".
- Injective_sheaf wikiPageWikiLink Abelian_category.
- Injective_sheaf wikiPageWikiLink Abelian_group.
- Injective_sheaf wikiPageWikiLink Alexander_Grothendieck.
- Injective_sheaf wikiPageWikiLink Category:Algebraic_geometry.
- Injective_sheaf wikiPageWikiLink Category:Homological_algebra.
- Injective_sheaf wikiPageWikiLink Category:Sheaf_theory.
- Injective_sheaf wikiPageWikiLink Closed_and_exact_differential_forms.
- Injective_sheaf wikiPageWikiLink De_Rham–Weil_theorem.
- Injective_sheaf wikiPageWikiLink Derived_functor.
- Injective_sheaf wikiPageWikiLink Differential_form.
- Injective_sheaf wikiPageWikiLink Ext_functor.
- Injective_sheaf wikiPageWikiLink French_language.
- Injective_sheaf wikiPageWikiLink Grothendiecks_Txc3xb4hoku_paper.
- Injective_sheaf wikiPageWikiLink Group_(mathematics).
- Injective_sheaf wikiPageWikiLink Homological_algebra.
- Injective_sheaf wikiPageWikiLink Injective_object.
- Injective_sheaf wikiPageWikiLink Leray_spectral_sequence.
- Injective_sheaf wikiPageWikiLink Manifold.
- Injective_sheaf wikiPageWikiLink MathOverflow.
- Injective_sheaf wikiPageWikiLink Mathematics.
- Injective_sheaf wikiPageWikiLink Module_(mathematics).
- Injective_sheaf wikiPageWikiLink Open_set.
- Injective_sheaf wikiPageWikiLink Paracompact_space.
- Injective_sheaf wikiPageWikiLink Partition_of_unity.
- Injective_sheaf wikiPageWikiLink Projective_space.
- Injective_sheaf wikiPageWikiLink Resolution_(algebra).
- Injective_sheaf wikiPageWikiLink Ring_(mathematics).
- Injective_sheaf wikiPageWikiLink Sheaf_(mathematics).
- Injective_sheaf wikiPageWikiLink Sheaf_cohomology.
- Injective_sheaf wikiPageWikiLink Spectrum_of_a_ring.
- Injective_sheaf wikiPageWikiLink Subobject_classifier.
- Injective_sheaf wikiPageWikiLink Surjective_function.
- Injective_sheaf wikiPageWikiLink Topological_space.
- Injective_sheaf wikiPageWikiLinkText "Injective sheaf".
- Injective_sheaf wikiPageWikiLinkText "fine".
- Injective_sheaf wikiPageWikiLinkText "injective sheaf".
- Injective_sheaf wikiPageWikiLinkText "injective sheaves".
- Injective_sheaf wikiPageUsesTemplate Template:Citation.
- Injective_sheaf subject Category:Algebraic_geometry.
- Injective_sheaf subject Category:Homological_algebra.
- Injective_sheaf subject Category:Sheaf_theory.
- Injective_sheaf comment "In mathematics, injective sheaves of abelian groups are used to construct the resolutions needed to define sheaf cohomology (and other derived functors, such as sheaf Ext). There is a further group of related concepts applied to sheaves: flabby (flasque in French), fine, soft (mou in French), acyclic.".
- Injective_sheaf label "Injective sheaf".
- Injective_sheaf sameAs Q3064613.
- Injective_sheaf sameAs Faisceau_injectif.
- Injective_sheaf sameAs 단사층.
- Injective_sheaf sameAs m.059dxp.
- Injective_sheaf sameAs Q3064613.
- Injective_sheaf wasDerivedFrom Injective_sheaf?oldid=695121129.
- Injective_sheaf isPrimaryTopicOf Injective_sheaf.