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.
- 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
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Assumed by6
- CategoryTheory.GrothendieckTopology.OneHypercoverFamily.exists_oneHypercover
- CategoryTheory.GrothendieckTopology.OneHypercoverFamily.isSheaf_iff
- CategoryTheory.GrothendieckTopology.OneHypercoverFamily.IsSheafIff.hom_ext
- CategoryTheory.GrothendieckTopology.OneHypercoverFamily.IsGenerating.le
- CategoryTheory.GrothendieckTopology.OneHypercoverFamily.IsSheafIff.isLimit
- CategoryTheory.GrothendieckTopology.OneHypercoverFamily.IsSheafIff.fac
Ancestors0
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