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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 wikiPageRevisionID "551288162".
- Injective_sheaf hasPhotoCollection Injective_sheaf.
- 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 "Faisceau injectif".
- Injective_sheaf label "Injective sheaf".
- Injective_sheaf sameAs Faisceau_injectif.
- Injective_sheaf sameAs 섬세_층.
- Injective_sheaf sameAs m.059dxp.
- Injective_sheaf sameAs Q3064613.
- Injective_sheaf sameAs Q3064613.
- Injective_sheaf wasDerivedFrom Injective_sheaf?oldid=551288162.
- Injective_sheaf isPrimaryTopicOf Injective_sheaf.