noun A quantity of the stalks and ears of wheat, rye, or other grain, bound together; a bundle of grain or straw.
noun Any collection of things bound together.
a sheaf of paper
noun A bundle of arrows sufficient to fill a quiver, or the allowance of each archer.
noun A quantity of arrows, usually twenty-four.
noun A sheave.
noun 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 {Ui} of U: If two sections over U agree under restriction to every Ui, then the sections are the same. Given a family of sections si∈ℱ(Ui) such that all pairs (si,sj) agree under restriction to Ui∩Uj, there is a (unique) section s over U whose restriction to Ui is si.
noun If two sections over U agree under restriction to every Ui, then the sections are the same.
noun Given a family of sections si∈ℱ(Ui) such that all pairs (si,sj) agree under restriction to Ui∩Uj, there is a (unique) section s over U whose restriction to Ui is si.