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Motivic Homotopy Theory: Lectures at a Summer School in Nordfjordeid, Norway, August 2002 (Universitext)
 
 
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Motivic Homotopy Theory: Lectures at a Summer School in Nordfjordeid, Norway, August 2002 (Universitext) [Paperback]

Bjorn Ian Dundas (Author), Marc Levine (Author), P.A. Østvær (Author), Oliver Röndigs (Author), Vladimir Voevodsky (Author), Björn Jahren (Editor)

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Book Description

December 28, 2006 3540458956 978-3540458951 1
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. Vladimir 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.

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Editorial Reviews

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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)

About the Author

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.

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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
local weak equivalences, motivic functors, sintplicial presheaves, simplicial presheaves, injective model structure, level fibration, right lifting property with respect, globally fibrant models, simplicial presheaf, stable model structure, sinlplicial sets, small object argument, simplicial sheaves, left lifting property with respect, global fibrations, stable fibration, simplicial circle, fibrant objects, trivial cofibrations, siniplicial sets, factorization axiom, covering sieve, stable homotopy category, simplicial sets, model category structure
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Lecture Notes, Sketch Proof, Hilbert's Nullstellensatz, Berlin-New York, American Mathematical Society
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