Algebraic K-Theory

GPTKB entity

Statements (58)
Predicate Object
gptkbp:instanceOf Mathematics
gptkbp:appliesTo Algebraic_Varieties
gptkbp:developedBy Alexander Grothendieck
gptkbp:fieldOfStudy Algebra
gptkbp:hasClient Representation Theory
gptkbp:hasFacility K_n
K_1
K_0
gptkbp:hasRelatedPatent Number Theory
https://www.w3.org/2000/01/rdf-schema#label Algebraic K-Theory
gptkbp:includesProvisionsFor Category Theory
gptkbp:is_studied_in gptkb:Algebraic_Cycles
Geometric Structures
gptkbp:isAssociatedWith Exact Sequences
Grothendieck Groups
gptkbp:isAvenueFor Computer Science
Cryptography
Mathematical_Physics
gptkbp:isCharacterizedBy gptkb:K-Theory_Spectra
gptkbp:isConnectedTo gptkb:Spectral_Sequences
Functoriality
Homotopy Theory
Motivic_Homotopy_Theory
Stable_Homotopy_Groups
gptkbp:isExploredIn Research Papers
Mathematical_Journals
gptkbp:isInfluencedBy Set Theory
Category Theory
Homological Algebra
Derived Categories
Algebraic_Topology
Algebraic_Logic
gptkbp:isPartOf Mathematical Logic
Abstract Algebra
Algebraic Structures
Modern Algebra
Higher Algebra
gptkbp:isRelatedTo Cohomology
Noncommutative Geometry
Cohomological Dimension
Chern_Classes
Sheaf_Theory
Functorial_K-Theory
gptkbp:isStudiedIn Topology
Mathematicians
Theoretical Physicists
Graduate_Programs
gptkbp:isTaughtIn University Courses
gptkbp:isUsedBy gptkb:Vector_Bundles
Algebraic Structures
Homotopy Types
gptkbp:isUsedFor Rings
gptkbp:isUsedIn Topology
Algebraic_Geometry
gptkbp:provides Stable Homotopy Theory
gptkbp:relatedTo gptkb:Topological_K-Theory
gptkbp:research Projective Modules
gptkbp:uses Homotopy Theory