Flabby sheaf

Definition

A sheaf of sets on a topological space is termed flabby if for any open set, the restriction map from the sheaf for the whole space, to the sheaf for the set, is surjective.

Relation with other properties

Stronger properties

• Injective sheaf (when working with a sheaf of modules over a sheaf of rings)

Weaker properties

• Soft sheaf