Geometry Topology

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By Fabien Morel

this article bargains with A1-homotopy conception over a base box, i.e., with the common homotopy conception linked to the class of tender forms over a box during which the affine line is imposed to be contractible. it's a typical sequel to the foundational paper on A1-homotopy conception written including V. Voevodsky. encouraged by means of classical leads to algebraic topology, we current new ideas, new effects and purposes on the topic of 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 soft varieties.

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

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