Acyclic Sheaves
An acyclic sheaf F over X is one such that all higher sheaf cohomology groups vanish.
The cohomology groups of any sheaf can be calculated from any acyclic resolution of it (this goes by the name of De Rham-Weil theorem).
Read more about this topic: Injective Sheaf
Famous quotes containing the word sheaves:
“Being young you have not known
The fool’s triumph, nor yet
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Nor the best labourer dead
And all the sheaves to bind.”
—William Butler Yeats (1865–1939)