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

By Fabien Morel

this article bargains with A1-homotopy idea over a base box, i.e., with the traditional homotopy conception linked to the class of tender kinds over a box within which the affine line is imposed to be contractible. it's a typical sequel to the foundational paper on A1-homotopy idea written including V. Voevodsky. encouraged by way of classical ends up in algebraic topology, we current new strategies, new effects and purposes relating to 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 soft varieties.

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