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A1-algebraic topology over a field /

Morel, Fabien.

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A1-algebraic topology over a field /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A1-algebraic topology over a field // Fabien Morel.
其他題名:	A¹-algebraic topology over a field
作者:	Morel, Fabien.
出版者:	Heidelberg ;Springer, : c2012.,
面頁冊數:	x, 259 p. :ill. ;24 cm.
標題:	Algebraic topology. -
電子資源:	http://dx.doi.org/10.1007/978-3-642-29514-0Via SpringerLink
ISBN:	9783642295133 (pbk.) :

A1-algebraic topology over a field /
Morel, Fabien.

A1-algebraic topology over a field /A¹-algebraic topology over a fieldFabien Morel. - Heidelberg ;Springer,c2012. - x, 259 p. :ill. ;24 cm. - Lecture notes in mathematics ;2052. - Lecture notes in mathematics (Springer-Verlag) ;2002..

Includes bibliographical references (p. 255-258) and index.

Introduction --

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.

ISBN: 9783642295133 (pbk.) :EUR44.95

LCCN: 2012942079Subjects--Topical Terms:

532744
Algebraic topology.

LC Class. No.: QA612 / .M67 2012

A1-algebraic topology over a field /
LDR:02029cam a2200265Ia 4500 001 1337386
003 OCoLC
005 20130523115341.0
008 130322s2012 gw a b 001 0 eng d
010 $a 2012942079
020 $a 9783642295133 (pbk.) : $c EUR44.95
020 $a 3642295134 (pbk.)
035 $a AS-BW-102-01
040 $a BTCTA $b eng
050 # 4 $a QA612 $b .M67 2012
050 # 4 $a QA3 $b .L28 no.2052
100 1 $a Morel, Fabien. $3 811963
245 1 0 $a A1-algebraic topology over a field / $c Fabien Morel.
246 3 # $a A¹-algebraic topology over a field
246 3 # $a A-algebraic topology over a field
260 # $a Heidelberg ; $a New York : $b Springer, $c c2012.
300 $a x, 259 p. : $b ill. ; $c 24 cm.
490 1 0 $a Lecture notes in mathematics ; $v 2052
504 $a Includes bibliographical references (p. 255-258) and index.
505 0 # $t Introduction -- $t Unramified sheaves and strongly A¹-invariant sheaves -- $t Unramified Milnor-Witt K-theories -- $t Geometric versus canonical transfers -- $t The Rost-Schmid complex of a strongly A¹-invariant sheaf -- $t A¹-homotopy sheaves and A¹-homology sheaves -- $t A¹-coverings, [Pi]A¹1 (Pn) and [Pi]A¹1 (SLn) -- $t A¹-homotopy and algebraic vector bundles -- $t The affine B.G. property for the linear groups and the Grassmanian -- $t The (Affine) B.G. property for simplicial sheaves -- $t Recollection on obstruction theory.
520 # $a 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.
650 # 0 $a Algebraic topology. $3 532744
650 # 0 $a Homotopy theory. $3 604501
830 0 $a Lecture notes in mathematics (Springer-Verlag) ; $v 2002. $3 1235985
856 4 1 $u http://dx.doi.org/10.1007/978-3-642-29514-0 $z Via SpringerLink