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Mathlib.Algebra.Category.ModuleCat.Sheaf.Free

Free sheaves of modules #

In this file, we construct the functor SheafOfModules.freeFunctor : Type u ⥤ SheafOfModules.{u} R which sends a type I to the coproduct of copies indexed by I of unit R.

TODO #

The data of a morphism free I ⟶ M from a free sheaf of modules is equivalent to the data of a family I → M.sections of sections of M.

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The functor Type u ⥤ SheafOfModules.{u} R which sends a type I to free I which is a coproduct indexed by I of copies of R (thought as a presheaf of modules over itself).

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