By Fabien Morel

this article offers with A1-homotopy thought over a base box, i.e., with the common homotopy conception linked to the class of delicate forms 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 means of classical leads to 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 delicate varieties.

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

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