Quillen's localization theorem
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
abelian categories
exact categories |
| gptkbp:describes |
relationship between K-theory of a category and a subcategory
|
| gptkbp:field |
gptkb:algebraic_K-theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Quillen's localization theorem
|
| gptkbp:influenced |
development of higher algebraic K-theory
|
| gptkbp:namedAfter |
gptkb:Daniel_Quillen
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Quillen's_Q-construction
gptkb:K-theory_spectrum |
| gptkbp:state |
there is a long exact sequence in K-theory for a Serre subcategory
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:topology |
| gptkbp:yearProposed |
1973
|
| gptkbp:bfsParent |
gptkb:Algebraic_K-theory_of_schemes
|
| gptkbp:bfsLayer |
6
|