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gptkbp:instanceOf
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gptkb:logic
|
|
gptkbp:application
|
gptkb:motivic_homotopy_theory
number theory
algebraic cycles
classification of vector bundles
|
|
gptkbp:developedBy
|
gptkb:John_Milnor
gptkb:Daniel_Quillen
|
|
gptkbp:field
|
gptkb:algebra
gptkb:algebraic_geometry
gptkb:topology
|
|
gptkbp:hasConcept
|
K0 group
K1 group
K2 group
higher K-groups
|
|
gptkbp:hasTextbook
|
gptkb:Algebraic_K-Theory_(Hyman_Bass)
gptkb:Algebraic_K-Theory_and_Its_Applications_(Jonathan_Rosenberg)
gptkb:Higher_Algebraic_K-Theory_I_(Daniel_Quillen)
Algebraic K-Theory (Charles Weibel)
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|
gptkbp:hasWebsite
|
https://en.wikipedia.org/wiki/Algebraic_K-theory
https://ncatlab.org/nlab/show/algebraic+K-theory
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Algebraic K-Theory
|
|
gptkbp:introduced
|
gptkb:Alexander_Grothendieck
|
|
gptkbp:notableAchievement
|
gptkb:Milnor_K-theory
gptkb:Bass–Quillen_conjecture
gptkb:Fundamental_theorem_of_algebraic_K-theory
gptkb:Gersten_conjecture
gptkb:Quillen's_Q-construction
gptkb:Quillen–Lichtenbaum_conjecture
gptkb:Bloch–Lichtenbaum_spectral_sequence
gptkb:Suslin_rigidity_theorem
|
|
gptkbp:notableConference
|
K-Theory and Algebraic Geometry conferences
|
|
gptkbp:notablePublication
|
gptkb:Journal_of_K-Theory
|
|
gptkbp:relatedTo
|
homological algebra
motivic cohomology
topological K-theory
|
|
gptkbp:studies
|
gptkb:vector_bundles
rings
schemes
projective modules
|
|
gptkbp:surveyedBy
|
gptkb:Handbook_of_K-Theory
The Handbook of Algebraic K-Theory (Grayson, Weibel, editors)
|
|
gptkbp:bfsParent
|
gptkb:Graduate_Studies_in_Mathematics
|
|
gptkbp:bfsLayer
|
7
|