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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.
Actor Simon Pegg wearing a t-shirt with the slogan Norf London, representing "North London" with th-fronting. The first reference to th-fronting is in the "low English" of London in 1787, though only a single author in that century writes about it, and it was likely perceived as an idiosyncrasy, rather than a full-fledged dialect feature of Cockney English, even into the early half of the ...
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.
Sheave, a wheel or roller with a groove along its edge for holding a belt, rope or cable Topics referred to by the same term This disambiguation page lists articles associated with the title Sheaf .
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 ...
A morphism of sheaves is an isomorphism, epimorphism, or monomorphism, respectively, if and only if the induced morphisms on all stalks have the same property. (However it is not true that two sheaves, all of whose stalks are isomorphic, are isomorphic, too, because there may be no map between the sheaves in question.) In particular:
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In more abstract language, the sheaves on form a reflective subcategory of the presheaves (Mac Lane–Moerdijk Sheaves in Geometry and Logic p. 86). In topos theory , for a Lawvere–Tierney topology and its sheaves, there is an analogous result (ibid. p. 227).