# Flabby sheaf

From Diffgeom

Template:Sheaf-of-sets property

## Contents

## 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)