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Motivic Homotopy Theory [electronic resource] :Lectures at a Summer School in Nordfjordeid, Norway, August 2002 / edited by Bjørn Ian Dundas, Marc Levine, Paul Arne Østvær, Oliver Röndigs, Vladimir Voevodsky.

by Dundas, Bjørn Ian [editor.]; Levine, Marc [editor.]; Østvær, Paul Arne [editor.]; Röndigs, Oliver [editor.]; Voevodsky, Vladimir [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Universitext: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.Description: X, 221 p. online resource.ISBN: 9783540458975.Subject(s): Mathematics | Geometry, algebraic | Algebraic topology | Mathematics | Algebraic Topology | Algebraic GeometryDDC classification: 514.2 Online resources: Click here to access online
Contents:
Prerequisites in Algebraic Topology the Nordfjordeid Summer School on Motivic Homotopy Theory -- Basic Properties and Examples -- Deeper Structure: Simplicial Sets -- Model Categories -- Motivic Spaces and Spectra -- Background from Algebraic Geometry -- Elementary Algebraic Geometry -- Sheaves for a Grothendieck Topology -- Voevodsky’s Nordfjordeid Lectures: Motivic Homotopy Theory -- Voevodsky’s Nordfjordeid Lectures: Motivic Homotopy Theory.
In: Springer eBooksSummary: This book is based on lectures given at a summer school on motivic homotopy theory at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. Aimed at graduate students in algebraic topology and algebraic geometry, it contains background material from both of these fields, as well as the foundations of motivic homotopy theory. It will serve as a good introduction as well as a convenient reference for a broad group of mathematicians to this important and fascinating new subject.
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Prerequisites in Algebraic Topology the Nordfjordeid Summer School on Motivic Homotopy Theory -- Basic Properties and Examples -- Deeper Structure: Simplicial Sets -- Model Categories -- Motivic Spaces and Spectra -- Background from Algebraic Geometry -- Elementary Algebraic Geometry -- Sheaves for a Grothendieck Topology -- Voevodsky’s Nordfjordeid Lectures: Motivic Homotopy Theory -- Voevodsky’s Nordfjordeid Lectures: Motivic Homotopy Theory.

This book is based on lectures given at a summer school on motivic homotopy theory at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. Aimed at graduate students in algebraic topology and algebraic geometry, it contains background material from both of these fields, as well as the foundations of motivic homotopy theory. It will serve as a good introduction as well as a convenient reference for a broad group of mathematicians to this important and fascinating new subject.

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