1
Local structure
▶
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
1.9
Weakly étale algebras
2
Replete categories
▶
2.1
Coherent objects
2.2
Weakly contractible categories
3
Pro-categories
▶
3.1
Coherent topology
3.2
Generated topologies
4
The pro-étale topology
▶
4.1
Weakly étale morphisms of schemes
4.2
The site
▶
4.2.1
Affine covers
4.2.2
Repleteness
4.3
Comparison with étale cohomology
5
Bibliography
Dependency graph
proetale
Jiedong Jiang Christian Merten
1
Local structure
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
1.9
Weakly étale algebras
2
Replete categories
2.1
Coherent objects
2.2
Weakly contractible categories
3
Pro-categories
3.1
Coherent topology
3.2
Generated topologies
4
The pro-étale topology
4.1
Weakly étale morphisms of schemes
4.2
The site
4.2.1
Affine covers
4.2.2
Repleteness
4.3
Comparison with étale cohomology
5
Bibliography