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:

    “What did you go out into the wilderness to look at? A reed shaken by the wind? What then did you go out to see? Someone dressed in soft robes? Look, those who wear soft robes are in royal palaces. What then did you go out to see? A prophet? Yes, I tell you, and more than a prophet.”
    —Bible: New Testament, Matthew 11:7-9.

    Jesus speaking about John the Baptist.

    “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)