1
Local structures
▶
1.1
Preliminaries
1.2
ind-Zariski maps
1.3
Henselian objects and Henselisation
1.4
Ind-etale ring maps
1.5
w-local spaces
1.6
w-local rings
1.7
w-strictly-local Rings
1.8
w-contractible rings
2
More on local structure
▶
2.1
Weakly étale algebras
2.2
Weak dimension
2.3
Fields
2.4
Local rings
3
Replete categories
▶
3.1
Coherent objects
3.2
Weakly contractible categories
4
Pro-categories
▶
4.1
Coherent topology
4.2
Generated topologies
5
The pro-étale topology
▶
5.1
Weakly étale morphisms of schemes
5.2
The site
▶
5.2.1
Affine covers
5.2.2
Repleteness
5.3
Comparison with étale cohomology
6
Bibliography
Dependency graph
proetale
Jiedong Jiang Christian Merten
1
Local structures
1.1
Preliminaries
1.2
ind-Zariski maps
1.3
Henselian objects and Henselisation
1.4
Ind-etale ring maps
1.5
w-local spaces
1.6
w-local rings
1.7
w-strictly-local Rings
1.8
w-contractible rings
2
More on local structure
2.1
Weakly étale algebras
2.2
Weak dimension
2.3
Fields
2.4
Local rings
3
Replete categories
3.1
Coherent objects
3.2
Weakly contractible categories
4
Pro-categories
4.1
Coherent topology
4.2
Generated topologies
5
The pro-étale topology
5.1
Weakly étale morphisms of schemes
5.2
The site
5.2.1
Affine covers
5.2.2
Repleteness
5.3
Comparison with étale cohomology
6
Bibliography