Definitions for "Sheaf"
Keywords:  sheave, bundle, quiver, straw, wheat
A sheave.
A quantity of the stalks and ears of wheat, rye, or other grain, bound together; a bundle of grain or straw.
Any collection of things bound together; a bundle; specifically, a bundle of arrows sufficient to fill a quiver, or the allowance of each archer, -- usually twenty-four.
In mathematics, a sheaf is the basic tool for expressing relationships between small regions of a space and large regions. Beginning with a topological space X, a sheaf assigns to every region (technically, open set) U of X some data F(U), such as a set, a group, or a ring. Often these data are a collection of geometric objects defined on that region, such as functions, vector fields, or differential forms.