© 2007

Motivic Homotopy Theory

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

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

Part of the Universitext book series (UTX)

Table of contents

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

    1. Front Matter
      Pages I-X
    2. Bjørn Ian Dundas
      Pages 1-25
    3. Bjørn Ian Dundas
      Pages 27-40
    4. Bjørn Ian Dundas
      Pages 41-53
    5. Bjørn Ian Dundas
      Pages 55-67
  3. Background from Algebraic Geometry

    1. Front Matter
      Pages I-X
    2. Marc Levine
      Pages 71-113
    3. Marc Levine
      Pages 115-145
  4. Voevodsky’s Nordfjordeid Lectures: Motivic Homotopy Theory

    1. Vladimir Voevodsky, Oliver Röndigs, Paul Arne Østvær
      Pages 147-225

About this book


Algebraic topology Grothendieck topologies Homotopy Model categories Motivic spaces and spectra Nisnevich topology Simplicial sets homotopy theory

Editors and affiliations

  • Bjørn Ian Dundas
    • 1
  • Marc Levine
    • 2
  • Paul Arne Østvær
    • 3
  • Oliver Röndigs
    • 4
  • Vladimir Voevodsky
    • 5
  1. 1.Department of MathematicsUniversity of OsloBlindernNorway
  2. 2.Department of MathematicsNortheastern UniversityBostonUSA
  3. 3.Department of MathematicsUniversity of OsloBlindernNorway
  4. 4.Fakultät für MathematikUniversität BielefeldBielefeldGermany
  5. 5.School of MathematicsPrinceton UniversityPrincetonUSA

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


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)