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Wheat sheaves near King's Somborne.Here the individual sheaves have been put together into a stook ("stooked") to dry. A sheaf of grain on a plaque Sheafing machine. A sheaf (/ ʃ iː f /; pl.: sheaves) is a bunch of cereal-crop stems bound together after reaping, traditionally by sickle, later by scythe or, after its introduction in 1872, by a mechanical reaper-binder.
Especially in the context of sheaves on manifolds, sheaf cohomology can often be computed using resolutions by soft sheaves, fine sheaves, and flabby sheaves (also known as flasque sheaves from the French flasque meaning flabby). For example, a partition of unity argument shows that the sheaf of smooth functions on a manifold is soft.
Wheat sheaves near King's Somborne, England arranged into a stook. Stooking maize in Kenya.. A stook /stʊk/, also referred to as a shock or stack, [1] is an arrangement of sheaves of cut grain-stalks placed so as to keep the grain-heads off the ground while still in the field and before collection for threshing.
Sheave without a rope. A pulley is a wheel on an axle or shaft enabling a taut cable or belt passing over the wheel to move and change direction, or transfer power between itself and a shaft. A sheave or pulley wheel is a pulley using an axle supported by a frame or shell (block) to guide a cable or exert force.
Sheaves is the plural of either of two nouns: Sheaf (disambiguation) Sheave This page was last edited on 1 October 2024, at 19:34 (UTC). Text is available under the ...
Sheaves of wheat: one sheaf is approximately one omer in dry volume. The omer (Hebrew: עֹ֫מֶר ‘ōmer) is an ancient Israelite unit of dry measure used in the era of the Temple in Jerusalem and also known as an isaron. [1]
In mathematics, a topos (US: / ˈ t ɒ p ɒ s /, UK: / ˈ t oʊ p oʊ s, ˈ t oʊ p ɒ s /; plural topoi / ˈ t ɒ p ɔɪ / or / ˈ t oʊ p ɔɪ /, or toposes) is a category that behaves like the category of sheaves of sets on a topological space (or more generally, on a site).
A morphism of presheaves or of sheaves is a natural transformation of functors. The category of all sheaves on C is the topos defined by the site (C, J). Using the Yoneda lemma, it is possible to show that a presheaf on the category O(X) is a sheaf on the topology defined above if and only if it is a sheaf in the classical sense.