| A1-Algebraic Topology Over a Field 2012 Edition Contributor(s): Morel, Fabien (Author) |
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ISBN: 3642295134 ISBN-13: 9783642295133 Publisher: Springer OUR PRICE: $61.74 Product Type: Paperback Published: July 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Abstract - Mathematics | Geometry - Algebraic - Mathematics | Topology - General |
| Dewey: 512.66 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.7" H x 6.1" W x 9" (0.85 lbs) 259 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This text deals with A1-homotopy theory over a base field, i.e., with the natural homotopy theory associated to the category of smooth varieties over a field in which the affine line is imposed to be contractible. It is a natural sequel to the foundational paper on A1-homotopy theory written together with V. Voevodsky. Inspired by classical results in algebraic topology, we present new techniques, new results and applications related to the properties and computations of A1-homotopy sheaves, A1-homology sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties. |