Statements (56)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:Mathematics
|
| gptkbp:applies_to |
gptkb:Mathematics
Number Theory |
| gptkbp:developed_by |
gptkb:Alexander_Grothendieck
|
| gptkbp:field_of_study |
Algebra
|
| gptkbp:has_applications_in |
Representation Theory
Arithmetic Geometry Stable Homotopy Theory |
| gptkbp:has_feature |
gptkb:K2
gptkb:K1 K-groups K0 Higher K-theory |
| gptkbp:has_historical_significance |
20th Century Mathematics
19th Century Mathematics |
| https://www.w3.org/2000/01/rdf-schema#label |
Algebraic K-theory
|
| gptkbp:is_associated_with |
Topological Spaces
Algebraic Varieties Functoriality Schemes Noncommutative Geometry Chern Classes Riemann-Roch Theorem Vector Bundles Spectral Sequences Homotopy Groups Derived Categories Motivic Cohomology Cohomology Theories Projective Modules Algebraic Cycles Homotopy Categories Ring Spectra Stable Categories Stable Homotopy Groups |
| gptkbp:is_influenced_by |
gptkb:political_theory
gptkb:Homotopy_Type_Theory Algebraic Topology Sheaf Theory Cohomological Methods |
| gptkbp:is_part_of |
Modern Algebra
|
| gptkbp:is_related_to |
Cohomology
Motivic Homotopy Theory Borel-Moore Homology Grothendieck's Riemann-Roch Theorem |
| gptkbp:is_studied_in |
gptkb:political_theory
Homological Algebra |
| gptkbp:is_used_in |
gptkb:quantum_field_theory
gptkb:string_theory Mathematical Physics |
| gptkbp:related_to |
Homotopy Theory
Topological K-theory |
| gptkbp:uses |
Exact Sequences
Spectral Sequences |
| gptkbp:bfsParent |
gptkb:Michael_Artin
|
| gptkbp:bfsLayer |
4
|