noun

• (mechanical) A sheave.
• (mathematics) 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:
• (mathematics) 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:

verb

• (transitive) To gather and bind into a sheaf; to make into sheaves
  "to sheaf wheat"
• (intransitive) To collect and bind cut grain, or the like; to make sheaves.
  "They that reap must sheaf and bind; Then to cart with Rosalind."