sheaf

1. A quantity of the stalks and ears of wheat, rye, or other grain, bound together; a bundle of grain or straw.

   Garbe

   снопsnop, вяза́нкаvjazánka

   сніпsnip, в'яза́нкаvʺjazánka

2. Any collection of things bound together.

   a sheaf of paper

   Bündel

   свя́зкаsvjázka, па́чкаpáčka, пучо́кpučók

   a package of several things tied together for carrying or storing

3. (collective)A bundle of arrows sufficient to fill a quiver, or the allowance of each archer.

4. (collective)A quantity of arrows, usually twenty-four.

5. A sheave.

6. 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.

   Garbe

   пучо́кpučók

7. 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.

1. The sun rose bright and shone upon the sheaf of oats, and the twittering birds surrounded the pole.

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2. Anne came out of the fragrant twilight of the orchard with a sheaf of white narcissi in her hands.

   deAnne kam mit einem Bündel Narzissen in den Händen aus dem duftenden Zwielicht des Obstgartens hervor.

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3. And no one ever knew a Battle Sheaf to be among the last load at a Harvest Home.

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