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# What is a Sheaf?

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a sheaf can be a bundle of wood,stalks paper etc. \n.
\n Sheaves \n.
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\nIn mathematics, a sheaf F on a topological space X is something that assigns a st…ructure F(U) (such as a set, group, or ring) to each open set U of X. The structures F(U) are compatible with the operations of restricting the open set to smaller subsets and gluing smaller open sets to obtain a bigger one. A presheaf is similar to a sheaf, but it may not be possible to glue. Sheaves enable one to discuss in a refined way what is a local property, as applied to a function. (MORE)