Statements (58)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical concept
|
| gptkbp:appliesTo |
vector bundles
|
| gptkbp:developedBy |
gptkb:Michael_Atiyah
|
| gptkbp:hasRelatedPatent |
string theory
mathematical physics |
| https://www.w3.org/2000/01/rdf-schema#label |
K-Theory Spectra
|
| gptkbp:includes |
topological K-theory
algebraic_K-theory |
| gptkbp:is_studied_in |
topological spaces
|
| gptkbp:isAssociatedWith |
Chern_classes
Grothendieck's_K-theory |
| gptkbp:isAvenueFor |
differential geometry
mathematical modeling representation theory noncommutative geometry index theory |
| gptkbp:isConnectedTo |
algebraic topology
derived categories spectral sequences homotopy type theory stable categories stable homotopy types Mayer-Vietoris_sequences |
| gptkbp:isInfluencedBy |
algebraic geometry
category theory homological algebra topological methods spectral sequences in algebraic topology |
| gptkbp:isInvolvedIn |
topological invariants of manifolds
|
| gptkbp:isLinkedTo |
cohomology theories
|
| gptkbp:isPartOf |
theoretical physics
abstract algebra homotopy theory mathematical analysis topological invariants modern algebraic topology |
| gptkbp:isRelatedTo |
homotopy equivalences
stable homotopy theory cohomological methods stable homotopy groups homotopy groups topological invariants of algebraic varieties Borel-Moore_homology |
| gptkbp:isStudiedIn |
mathematical physics
category theory mathematical logic mathematical research computational topology |
| gptkbp:isUsedBy |
geometric properties of spaces
vector bundles over a space |
| gptkbp:isUsedIn |
topological data analysis
topological field theories stable homotopy category quantum_field_theory |
| gptkbp:isUtilizedIn |
stable homotopy groups of spheres
|
| gptkbp:provides |
generalized cohomology theories
|
| gptkbp:relatedTo |
stable homotopy theory
|
| gptkbp:usedIn |
algebraic topology
|