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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 wikiPageRevisionID "594053697".
- Constant_sheaf hasPhotoCollection Constant_sheaf.
- Constant_sheaf subject Category:Sheaf_theory.
- 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 m.04ggh1p.
- Constant_sheaf sameAs Q5163667.
- Constant_sheaf sameAs Q5163667.
- Constant_sheaf wasDerivedFrom Constant_sheaf?oldid=594053697.
- Constant_sheaf depiction Constantpresheaf.png.
- Constant_sheaf isPrimaryTopicOf Constant_sheaf.
