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In mathematics, a sheaf ( pl.: sheaves) is a tool for systematically tracking data (such as sets, abelian groups, rings) attached to the open sets of a topological space and defined locally with regard to them. For example, for each open set, the data could be the ring of continuous functions defined on that open set.
- Grothendieck Topology
Let C be a category and let J be a Grothendieck topology on...
- Coherent Sheaf
Theorem — Let be a scheme and an -module on it.Then the...
- Grothendieck Topology
Supreme Headquarters Allied Expeditionary Force (SHAEF; / ˈ ʃ eɪ f / SHAYF) was the headquarters of the Commander of Allied forces in northwest Europe, from late 1943 until the end of World War II. US General Dwight D. Eisenhower was the commander in SHAEF throughout its existence.
- 1943–1945
- Combined Chiefs of Staff
- 14 July 1945
- Theater of operations
Mar 7, 2024 · sheaf (plural sheaves or sheafs) A quantity of the stalks and ears of wheat, rye, or other grain, bound together; a bundle of grain or straw . Synonym: reap. Any collection of things bound together. Synonym: bundle. a sheaf of paper. A bundle of arrows sufficient to fill a quiver, or the allowance of each archer .
a number of things, especially pieces of paper or plant stems, that are held or tied together: A lawyer walked in carrying a whole sheaf of papers. The corn was cut and tied in sheaves. Synonym. bundle. Tim Ridley/Dorling Kindersley/GettyImages. SMART Vocabulary: related words and phrases. Groups and collections of things. age bracket. agglomerate.
sheaf. noun. ˈshēf. plural sheaves ˈshēvz. Synonyms of sheaf. 1. : a quantity of the stalks and ears of a cereal grass or sometimes other plant material bound together. 2. : something resembling a sheaf of grain. a sheaf of papers. 3. : a large amount or number. sheaflike. ˈshēf-ˌlīk. adjective. Synonyms. abundance. barrel. basketful. boatload.
3 days ago · sheaf. (ʃiːf ) Word forms: plural sheaves. 1. countable noun. A sheaf of papers is a number of them held or fastened together. He took out a sheaf of papers and leafed through them. [ + of] Synonyms: bundle, mass, pile, bunch More Synonyms of sheaf. 2. countable noun.
sheaf noun 1. 1.a. Old English–. One of the large bundles in which it is usual to bind cereal plants after reaping. Also, a similar bundle of the stalks or blooms of other plants. α forms. OE. Garbas, sceabas. Corpus Glossary (Hessels) G 15. … 1862. Beans were usually tithed in the sheaf or shock. Miall, Title-deeds Church Eng. 39 (note)