Grothendieck's yoga of fibered categories
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:describedBy |
gptkb:SGA_1
gptkb:SGA_4 |
| gptkbp:developedBy |
gptkb:Alexander_Grothendieck
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:category_theory |
| gptkbp:hasConcept |
organizing families of mathematical objects over a base category
systematic use of fibered categories and functors |
| https://www.w3.org/2000/01/rdf-schema#label |
Grothendieck's yoga of fibered categories
|
| gptkbp:influenced |
gptkb:moduli_problems
modern algebraic geometry stack theory |
| gptkbp:introducedIn |
1960s
|
| gptkbp:relatedTo |
Grothendieck topology
fibered category descent theory |
| gptkbp:usedFor |
defining stacks
formulating descent conditions studying moduli spaces |
| gptkbp:bfsParent |
gptkb:Alexandre_Grothendieck
|
| gptkbp:bfsLayer |
7
|