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.

Read more about this topic:  Injective Sheaf

Famous quotes containing the words soft and/or sheaves:

    “Happy ye leaves! whenas those lily hands,
    Which hold my life in their dead-doing might,
    Shall handle you, and hold in love’s soft bands,”
    —Edmund Spenser (1552?–1599)

    “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)