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auxiliary sheaf - translation to russian
математика
вспомогательный пучок
![](https://commons.wikimedia.org/wiki/Special:FilePath/Navy supply vessel "Berlin".jpg?width=200)
![''Wangerooge'']], 2005](https://commons.wikimedia.org/wiki/Special:FilePath/Cuxhaven 2005 -Seeschlepper Wangerooge- by-RaBoe 001.jpg?width=200 "''Wangerooge'']], 2005")
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![USNS ''Furman'']], 1981](https://commons.wikimedia.org/wiki/Special:FilePath/USNS Furman (T-AK-280) underway off Guam 1981.JPEG?width=200 "USNS ''Furman'']], 1981")
 is moored alongside the U.S. Naval Academy's Dewey Seawall.jpg?width=200 "US Navy barracks ship APL-61 in 2003")
 conducts a refueling at sea with Australian auxiliary oiler HMAS Sirius (AOR 266) as dock landing ship USS Tortuga (LSD 46) approaches during exercise Talisma.jpg?width=200 "6}}, June 2007")
общая лексика
вспомогательное судно
Definition
Wikipedia
In mathematics, injective sheaves of abelian groups are used to construct the resolutions needed to define sheaf cohomology (and other derived functors, such as sheaf Ext).
There is a further group of related concepts applied to sheaves: flabby (flasque in French), fine, soft (mou in French), acyclic. In the history of the subject they were introduced before the 1957 "Tohoku paper" of Alexander Grothendieck, which showed that the abelian category notion of injective object sufficed to found the theory. The other classes of sheaves are historically older notions. The abstract framework for defining cohomology and derived functors does not need them. However, in most concrete situations, resolutions by acyclic sheaves are often easier to construct. Acyclic sheaves therefore serve for computational purposes, for example the Leray spectral sequence.
