Waldhausen's additivity theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Waldhausen categories
|
| gptkbp:field |
gptkb:algebraic_K-theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Waldhausen's additivity theorem
|
| gptkbp:importantFor |
fundamental result in higher algebraic K-theory
|
| gptkbp:namedAfter |
gptkb:Friedhelm_Waldhausen
|
| gptkbp:publishedIn |
Algebraic K-theory of spaces (1985)
|
| gptkbp:relatedTo |
gptkb:Quillen's_Q-construction
S-construction |
| gptkbp:state |
The K-theory of a category with cofibrations and weak equivalences is additive with respect to certain exact sequences
|
| gptkbp:usedIn |
proofs of localization theorems in K-theory
|
| gptkbp:bfsParent |
gptkb:Algebraic_K-theory_of_spaces_(Waldhausen,_1985)
|
| gptkbp:bfsLayer |
8
|