A¹-homotopy theory

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:appliesTo algebraic varieties
schemes
gptkbp:citation Vladimir Voevodsky, Andrei Suslin, Eric M. Friedlander, 'Cycles, Transfers, and Motivic Homology Theories'
gptkbp:field gptkb:algebraic_geometry
homotopy theory
gptkbp:generalizes classical homotopy theory
https://www.w3.org/2000/01/rdf-schema#label A¹-homotopy theory
gptkbp:introduced gptkb:Vladimir_Voevodsky
gptkb:Fabien_Morel
gptkbp:introducedIn late 1990s
gptkbp:notableAchievement proof of Milnor conjecture
development of motivic stable homotopy category
gptkbp:notableIdea motivic spheres
A¹-homotopy category
A¹-weak equivalence
motivic spaces
gptkbp:relatedTo gptkb:motivic_homotopy_theory
motivic cohomology
gptkbp:studies homotopy theory of algebraic varieties
gptkbp:uses affine line A¹
gptkbp:bfsParent gptkb:Fabien_Morel
gptkbp:bfsLayer 7