Flabbiest

adjective

1. Yielding to the touch, and easily moved or shaken; hanging loose by its own weight; lacking firmness; flaccid.
2. (of wine) Having a slight lack of acidity; having mild sweetness.
3. (of writing, etc.) overwrought.
4. Which forms a surjection from the domain to every open subset of the codomain.

   "a flabby sheaf on a paracompact space"