Soft Sheaves
A soft sheaf F over X is one such that any section over any closed subset of X can be extended to a global section.
Soft sheaves are acyclic over paracompact Hausdorff spaces.
Read more about this topic: Injective Sheaf
Famous quotes containing the words soft and/or sheaves:
“There is nothing more poetic and terrible than the skyscrapers’ battle with the heavens that cover them. Snow, rain, and mist highlight, drench, or conceal the vast towers, but those towers, hostile to mystery and blind to any sort of play, shear off the rain’s tresses and shine their three thousand swords through the soft swan of the fog.”
—Federico García Lorca (1898–1936)
“A thousand golden sheaves were lying there,
Shining and still, but not for long to stay—
As if a thousand girls with golden hair
Might rise from where they slept and go away.”
—Edwin Arlington Robinson (1869–1935)