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:

    “This, mayhap, was not logic, but it was something more potent, more real than logic—the soft insinuating voice of Sentiment.”
    —Emmuska, Baroness Orczy (1865–1947)

    “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)