sheaf

Plural: sheafs, sheaves

Noun

• a package of several things tied together for carrying or storing
• 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.
• A sheave.
• 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.
• 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:
• 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.

Verb

Verb Forms: sheafed, sheafing, sheafs

• To gather and bind into a bundle, especially grain.
• To gather and bind into a sheaf; to make into sheaves
• To collect and bind cut grain, or the like; to make sheaves.

Examples

• a sheaf of paper
• He managed to SHEAF his scattered tiles into a coherent, high-scoring word.
• to sheaf wheat

Synonyms

bundle, reap

Anagrams of sheaf