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:

    “In marble halls as white as milk,
    Lined with a skin as soft as silk,
    Within a fountain crystal-clear,
    A golden apple doth appear.
    No doors there are to this stronghold,
    Yet thieves break in and steal the gold.”
    —Mother Goose (fl. 17th–18th century. In marble walls as white as milk (Riddle: An Egg)

    “Being young you have not known
    The fool’s triumph, nor yet
    Love lost as soon as won,
    Nor the best labourer dead
    And all the sheaves to bind.”
    —William Butler Yeats (1865–1939)