bn:00344811n
Noun Concept
Categories: Differential topology, Limits (category theory), General topology, Homological algebra, Mathematical axioms
EN
gluing axiom  B-sheaf  Sheaf associated to the presheaf  sheafification  Sheafification functor
EN
In mathematics, the gluing axiom is introduced to define what a sheaf F {\displaystyle {\mathcal {F}}} on a topological space X {\displaystyle X} must satisfy, given that it is a presheaf, which is by definition a contravariant functor F : O → C {\displaystyle {\mathcal {F}}:{\mathcal {O}}\rightarrow C} to a category C {\displaystyle C} which initially one takes to be the category of sets. Wikipedia
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EN
In mathematics, the gluing axiom is introduced to define what a sheaf F {\displaystyle {\mathcal {F}}} on a topological space X {\displaystyle X} must satisfy, given that it is a presheaf, which is by definition a contravariant functor F : O → C {\displaystyle {\mathcal {F}}:{\mathcal {O}}\rightarrow C} to a category C {\displaystyle C} which initially one takes to be the category of sets. Wikipedia
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