By Fabien Morel
This article bargains with A1-homotopy thought over a base box, i.e., with the typical homotopy thought linked to the class of delicate types over a box during which the affine line is imposed to be contractible. it's a normal sequel to the foundational paper on A1-homotopy idea written including V. Voevodsky. encouraged by way of classical leads to algebraic topology, we current new concepts, new effects and functions concerning the houses and computations of A1-homotopy sheaves, A1-homology sheaves, and sheaves with generalized transfers, in addition to to algebraic vector bundles over affine delicate types.
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