Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
scheme
|
| gptkbp:capturedBy |
algebraic covering space theory
|
| gptkbp:category |
gptkb:topology
|
| gptkbp:definedIn |
connected scheme
|
| gptkbp:dependsOn |
base point
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:generalizes |
topological fundamental group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Étale fundamental group
|
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:isProfinite |
true
|
| gptkbp:notation |
gptkb:π₁^ét(X)
|
| gptkbp:originatedIn |
Grothendieck's theory of schemes
|
| gptkbp:relatedTo |
gptkb:fundamental_group
gptkb:Weyl_group profinite group étale morphism |
| gptkbp:usedFor |
studying rational points
classifying finite étale covers studying Galois theory of schemes |
| gptkbp:usedIn |
gptkb:anabelian_geometry
|
| gptkbp:bfsParent |
gptkb:Etale_topology
|
| gptkbp:bfsLayer |
7
|