Injective Sheaf - Soft Sheaves

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.

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Famous quotes containing the words soft and/or sheaves:

    “The thundering line of battle stands,
    And in the air Death moans and sings:
    But Day shall clasp him with strong hands,
    And Night shall fold him in soft wings.”
    —Julian Grenfell (1888–1915)

    “A thousand golden sheaves were lying there,
    Shining and still, but not for long to stay—
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    —Edwin Arlington Robinson (1869–1935)