A1-Algebraic Topology over a Field (Lecture Notes in by Fabien Morel

By Fabien Morel

this article offers with A1-homotopy thought over a base box, i.e., with the usual homotopy conception linked to the class of gentle forms over a box within which the affine line is imposed to be contractible. it's a normal sequel to the foundational paper on A1-homotopy concept written including V. Voevodsky. encouraged by way of classical leads to algebraic topology, we current new innovations, new effects and purposes regarding the homes and computations of A1-homotopy sheaves, A1-homology sheaves, and sheaves with generalized transfers, in addition to to algebraic vector bundles over affine tender varieties.

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