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Motivic Homotopy Theory

Lectures at a Summer School in Nordfjordeid, Norway, August 2002

  • Textbook
  • © 2007

Overview

Editors:
  1. Bjørn Ian Dundas

    1. Department of Mathematics, University of Oslo, Blindern, Norway

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  2. Marc Levine

    1. Department of Mathematics, Northeastern University, Boston, USA

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  3. Paul Arne Østvær

    1. Department of Mathematics, University of Oslo, Blindern, Norway

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  4. Oliver Röndigs

    1. Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany

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  5. Vladimir Voevodsky

    1. School of Mathematics, Princeton University, Princeton, USA

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Part of the book series: Universitext (UTX)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-X
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  2. Prerequisites in Algebraic Topology the Nordfjordeid Summer School on Motivic Homotopy Theory

    1. Front Matter

      Pages I-X
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    2. Basic Properties and Examples

      • Bjørn Ian Dundas
      Pages 1-25

    3. Deeper Structure: Simplicial Sets

      • Bjørn Ian Dundas
      Pages 27-40

    4. Model Categories

      • Bjørn Ian Dundas
      Pages 41-53

    5. Motivic Spaces and Spectra

      • Bjørn Ian Dundas
      Pages 55-67

  3. Background from Algebraic Geometry

    1. Front Matter

      Pages I-X
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    2. Elementary Algebraic Geometry

      • Marc Levine
      Pages 71-113

    3. Sheaves for a Grothendieck Topology

      • Marc Levine
      Pages 115-145

  4. Voevodsky’s Nordfjordeid Lectures: Motivic Homotopy Theory

    1. Voevodsky’s Nordfjordeid Lectures: Motivic Homotopy Theory

      • Vladimir Voevodsky, Oliver Röndigs, Paul Arne Østvær
      Pages 147-225
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Keywords

Reviews

From the reviews:

"This research monograph on motivic homotopy theory contains material based on lectures at a summer school at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. With a similar scope as the summer school it is aimed at graduate students and researchers in algebraic topology and algebraic geometry. … They provide an excellent introduction as well as a convenient reference for anybody who wants to learn more about this important and fascinating new subject." (Frank Neumann, Mathematical Reviews, Issue 2008 k)

Editors and Affiliations

  • Department of Mathematics, University of Oslo, Blindern, Norway

    Bjørn Ian Dundas, Paul Arne Østvær

  • Department of Mathematics, Northeastern University, Boston, USA

    Marc Levine

  • Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany

    Oliver Röndigs

  • School of Mathematics, Princeton University, Princeton, USA

    Vladimir Voevodsky

About the editors

Voevodsky is one of the founders of the theory and received the Fields medal for his work, and the other authors have all done important work  in the subject.

Bibliographic Information

  • Book Title: Motivic Homotopy Theory

  • Book Subtitle: Lectures at a Summer School in Nordfjordeid, Norway, August 2002

  • Editors: Bjørn Ian Dundas, Marc Levine, Paul Arne Østvær, Oliver Röndigs, Vladimir Voevodsky

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-3-540-45897-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2007

  • Softcover ISBN: 978-3-540-45895-1Published: 20 November 2006

  • eBook ISBN: 978-3-540-45897-5Published: 11 July 2007

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: X, 226

  • Topics: Group Theory and Generalizations, Algebraic Topology, Algebraic Geometry

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