sheaf

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 of arrows sufficient to fill a quiver, or the allowance of each archer.

A quantity of arrows, usually twenty-four.

An abstract construct in topology that associates data to the open sets of a topological space (i.e. a presheaf) in such a way so as to make the local and global data compatible, generalizing the situation of functions, fiber bundles, manifold structure, etc. on a topological space. Formally, a presheaf ℱ whose sections are, in a technical sense, uniquely determined by their restrictions onto smaller sets: that is, given an open cover U_i of U.

If two sections over U agree under restriction to every U_i, then the sections are the same.

Given a family of sections s_i∈ℱ(U_i) such that all pairs (s_i,s_j) agree under restriction to U_i∩U_j, there is a (unique) section s over U whose restriction to U_i is s_i.

A sheave.

To gather and bind into a sheaf; to make into sheaves

To collect and bind cut grain, or the like; to make sheaves.