Statements (23)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:basisFor | 
                                    
                                        
                                            
                                            étale covers
                                        
                                        
                                         | 
                            
| gptkbp:category | 
                                    
                                        
                                            gptkb:website
                                        
                                         | 
                            
| gptkbp:covers | 
                                    
                                        
                                            
                                            étale morphisms
                                        
                                        
                                         | 
                            
| gptkbp:enables | 
                                    
                                        
                                            gptkb:étale_fundamental_group
                                        
                                         definition of sheaves on schemes study of cohomological properties of schemes étale cohomology group étale sheaf  | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:algebraic_geometry
                                        
                                         | 
                            
| gptkbp:generalizes | 
                                    
                                        
                                            gptkb:Zariski_topology
                                        
                                         | 
                            
| gptkbp:importantFor | 
                                    
                                        
                                            gptkb:Weil_conjectures
                                        
                                         arithmetic geometry motivic cohomology  | 
                            
| gptkbp:introduced | 
                                    
                                        
                                            gptkb:Alexander_Grothendieck
                                        
                                         | 
                            
| gptkbp:morphisms | 
                                    
                                        
                                            
                                            étale morphisms
                                        
                                        
                                         | 
                            
| gptkbp:objects | 
                                    
                                        
                                            
                                            schemes
                                        
                                        
                                         | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:Grothendieck_topology
                                        
                                         | 
                            
| gptkbp:usedFor | 
                                    
                                        
                                            
                                            defining étale cohomology
                                        
                                        
                                         | 
                            
| gptkbp:usedIn | 
                                    
                                        
                                            
                                            scheme theory
                                        
                                        
                                         | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Zariski_topology
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            5
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            étale topology
                                        
                                        
                                         |