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024 7 $a10.1007/978-3-642-29514-0
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035   $a(DE-He213)978-3-642-29514-0
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100   $a20120712d2012      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aA1-Algebraic Topology over a Field$b[electronic resource] /$fby Fabien Morel
205   $a1st ed. 2012.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2012.
215   $a1 online resource (X, 259 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2052
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-642-29513-4 
320   $aIncludes bibliographical references (p. 255-258) and index.
327   $a1 Introduction -- 2 Unramified sheaves and strongly A1-invariant sheaves -- 3 Unramified Milnor-Witt K-theories -- 4 Geometric versus canonical transfers -- 5 The Rost-Schmid complex of a strongly A1-invariant sheaf -- 6 A1-homotopy sheaves and A1-homology sheaves -- 7 A1-coverings -- 8 A1-homotopy and algebraic vector bundles -- 9 The affine B.G. property for the linear groups and the Grassmanian.
330   $aThis text deals with A1-homotopy theory over a base field, i.e., with the natural homotopy theory associated to the category of smooth varieties over a field in which the affine line is imposed to be contractible. It is a natural sequel to the foundational paper on A1-homotopy theory written together with V. Voevodsky. Inspired by classical results in algebraic topology, we present new techniques, new results and applications related to the properties and computations of A1-homotopy sheaves, A1-homology sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2052
606   $aAlgebraic geometry
606   $aK-theory
606   $aAlgebraic topology
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
606   $aK-Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11086
606   $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019
615  0$aAlgebraic geometry.
615  0$aK-theory.
615  0$aAlgebraic topology.
615 14$aAlgebraic Geometry.
615 24$aK-Theory.
615 24$aAlgebraic Topology.
676   $a516.35
700   $aMorel$b Fabien$4aut$4http://id.loc.gov/vocabulary/relators/aut$0477681
906   $aBOOK
912   $a996466770903316
996   $aA1-algebraic topology over a field$9241165
997   $aUNISA