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- 2012942079 abstract "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-homotogy sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties-- Source other than Library of Congress.".
- 2012942079 alternative "A1-algebraic topology over a field".
- 2012942079 contributor B12701838.
- 2012942079 created "c2012.".
- 2012942079 date "2012".
- 2012942079 date "c2012.".
- 2012942079 dateCopyrighted "c2012.".
- 2012942079 description "Includes bibliographical references (p. 255-258) and index.".
- 2012942079 description "Introduction -- Unramified sheaves and strongly A¹-invariant sheaves -- Unramified Milnor-Witt K-theories -- Geometric versus canonical transfers -- The Rost-Schmid complex of a strongly A¹-invariant sheaf -- A¹-homotopy sheaves and A¹-homology sheaves -- A¹-coverings, [Pi]A¹1 (Pn) and [Pi]A¹1 (SLn) -- A¹-homotopy and algebraic vector bundles -- The affine B.G. property for the linear groups and the Grassmanian -- The (Affine) B.G. property for simplicial sheaves -- Recollection on obstruction theory.".
- 2012942079 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-homotogy sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties-- Source other than Library of Congress.".
- 2012942079 extent "x, 259 p. :".
- 2012942079 identifier "3642295134 (pbk. : alk. paper)".
- 2012942079 identifier "9783642295133 (pbk. : alk. paper)".
- 2012942079 isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 2052.".
- 2012942079 isPartOf "Lecture notes in mathematics ; 2052".
- 2012942079 issued "2012".
- 2012942079 issued "c2012.".
- 2012942079 language "eng".
- 2012942079 publisher "Heidelberg ; New York : Springer,".
- 2012942079 subject "Algebraic topology.".
- 2012942079 subject "Homotopy theory.".
- 2012942079 subject "QA3 .L28 no.2052".
- 2012942079 subject "QA612 .M67 2012".
- 2012942079 tableOfContents "Introduction -- Unramified sheaves and strongly A¹-invariant sheaves -- Unramified Milnor-Witt K-theories -- Geometric versus canonical transfers -- The Rost-Schmid complex of a strongly A¹-invariant sheaf -- A¹-homotopy sheaves and A¹-homology sheaves -- A¹-coverings, [Pi]A¹1 (Pn) and [Pi]A¹1 (SLn) -- A¹-homotopy and algebraic vector bundles -- The affine B.G. property for the linear groups and the Grassmanian -- The (Affine) B.G. property for simplicial sheaves -- Recollection on obstruction theory.".
- 2012942079 title "A1-algebraic topology over a field".
- 2012942079 title "A¹-algebraic topology over a field / Fabien Morel.".
- 2012942079 type "text".