Mathlib Map

Structures · Category theory

CategoryTheory.GrothendieckTopology.OneHypercoverFamily.IsGenerating

A family of 1-hypercovers generates the topology if any covering sieve contains the sieve generated by the underlying covering of one of these 1-hypercovers. See OneHypercoverFamily.isSheaf_iff for the characterization of sheaves.

Defined in
Mathlib.CategoryTheory.Sites.Hypercover.IsSheaf
Shape
One type argument · adds le

Extends0

Extends nothing: this is a root of the hierarchy.

Extended by0

Nothing extends this class yet.

Concrete types that are instances0

No instance on a concrete type; it is reached through other classes.

How is a type an instance?

Loading the hierarchy index…

Assumed by6

Ancestors0

No ancestors.