000 | 02881nam a22004935i 4500 | ||
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001 | 978-3-642-29514-0 | ||
003 | DE-He213 | ||
005 | 20190213151852.0 | ||
007 | cr nn 008mamaa | ||
008 | 120712s2012 gw | s |||| 0|eng d | ||
020 |
_a9783642295140 _9978-3-642-29514-0 |
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024 | 7 |
_a10.1007/978-3-642-29514-0 _2doi |
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050 | 4 | _aQA564-609 | |
072 | 7 |
_aPBMW _2bicssc |
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072 | 7 |
_aMAT012010 _2bisacsh |
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072 | 7 |
_aPBMW _2thema |
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082 | 0 | 4 |
_a516.35 _223 |
100 | 1 |
_aMorel, Fabien. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aA1-Algebraic Topology over a Field _h[electronic resource] / _cby Fabien Morel. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2012. |
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300 |
_aX, 259 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2052 |
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505 | 0 | _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. | |
520 | _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. | ||
650 | 0 | _aGeometry, algebraic. | |
650 | 0 | _aK-theory. | |
650 | 0 | _aAlgebraic topology. | |
650 | 1 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
650 | 2 | 4 |
_aK-Theory. _0http://scigraph.springernature.com/things/product-market-codes/M11086 |
650 | 2 | 4 |
_aAlgebraic Topology. _0http://scigraph.springernature.com/things/product-market-codes/M28019 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642295133 |
776 | 0 | 8 |
_iPrinted edition: _z9783642295157 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2052 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-642-29514-0 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c12163 _d12163 |