syzygetic sheaf - definizione. Che cos'è syzygetic sheaf
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Cosa (chi) è syzygetic sheaf - definizione

MATHEMATICAL OBJECT IN SHEAF COHOMOLOGY
Flasque resolution; Flabby sheaf; Flabby resolution; Soft sheaf; Fine sheaf; Acyclic sheaf; Flasque sheaf; Flasque sheaves

sheaf         
WIKIMEDIA DISAMBIGUATION PAGE
Sheaf (disambiguation)
(sheaves)
1.
A sheaf of papers is a number of them held or fastened together.
He took out a sheaf of papers and leafed through them.
N-COUNT: usu N of n
2.
A sheaf of corn or wheat is a number of corn or wheat plants that have been cut down and tied together.
N-COUNT
sheaf         
WIKIMEDIA DISAMBIGUATION PAGE
Sheaf (disambiguation)
¦ noun (plural sheaves)
1. a bundle of grain stalks laid lengthways and tied together after reaping.
2. a bundle of objects, especially papers.
¦ verb bundle into sheaves.
Origin
OE sceaf, of Gmc origin; related to shove.
Sheaf         
WIKIMEDIA DISAMBIGUATION PAGE
Sheaf (disambiguation)
·noun A Sheave.
II. Sheaf ·vi To collect and bind cut grain, or the like; to make sheaves.
III. Sheaf ·vt To gather and bind into a sheaf; to make into sheaves; as, to sheaf wheat.
IV. Sheaf ·noun A quantity of the stalks and ears of wheat, rye, or other grain, bound together; a bundle of grain or straw.
V. Sheaf ·noun Any collection of things bound together; a bundle; specifically, a bundle of arrows sufficient to fill a quiver, or the allowance of each archer, - usually twenty-four.

Wikipedia

Injective sheaf

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.