SHEAF

Sheaf

In mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space. The data can be restricted to smaller open sets, and the data assigned to an open set is equivalent to all collections of compatible data assigned to collections of smaller open sets covering the original one. For example, such data can consist of the rings of continuous or smooth real-valued functions defined on each open set. Sheaves are by design quite general and abstract objects, and their correct definition is rather technical. They exist in several varieties such as sheaves of sets or sheaves of rings, depending on the type of ...

The above text is a snippet from Wikipedia: Sheaf (mathematics)
and as such is available under the Creative Commons Attribution/Share-Alike License.

sheaf

Noun

  1. A quantity of the stalks and ears of wheat, rye, or other grain, bound together; a bundle of grain or straw.
  2. Any collection of things bound together; a bundle.
    a sheaf of paper
  3. A bundle of arrows sufficient to fill a quiver, or the allowance of each archer.
  4. 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, together with well-defined restrictions from larger to smaller open sets, subject to the condition that compatible data on overlapping open sets corresponds, via the restrictions, to a unique datum on the union of the open sets.

Verb

  1. To gather and bind into a sheaf; to make into sheaves; as, to sheaf wheat.
  2. To collect and bind cut grain, or the like; to make sheaves.


The above text is a snippet from Wiktionary: sheaf
and as such is available under the Creative Commons Attribution/Share-Alike License.

Need help with a clue?
Try your search in the crossword dictionary!