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:

    O singers, resinous and soft your songs
    Above the sacred whisper of the pines,
    Give virgin lips to cornfield concubines,
    Bring dreams of Christ to dusky cane-lipped throngs.
    Jean Toomer (1894–1967)

    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)