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Voevodsky's Seattle Lectures: K-Theory and Motivic Cohomology (Notes by C. Weibel)  (Make Corrections)  
V. Voevodsky



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Abstract: 4.69> is obtained from Top by inverting weak homotopy equivalences. Then the stable homotopy category SHot is obtained from Hot by inverting the suspension, i.e., the smash product with the circle S 1 . If we view the singular chain complex C (X) of a topological space X as a functor to the derived category D(Ab) of abelian groups, then this functor factors through SHot : Top invert w.e. \Gamma\Gamma\Gamma\Gamma\Gamma\Gamma! Hot C ? ? y ? ? yinvert S 1 D(Ab)... (Update)

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BibTeX entry:   (Update)

@misc{ voevodsky-voevodskys,
  author = "V. Voevodsky",
  title = "Voevodsky's Seattle Lectures: K-Theory and Motivic Cohomology (Notes by
    C. Weibel)",
  url = "citeseer.ist.psu.edu/249068.html" }
Citations (may not include all citations):
35   Lecture Notes in Math (context) - Bousfield, Friedlander et al. - 1978
29   Singular homology of abstract algebraic varieties - Suslin, Voevodsky - 1996
25   Etale Cohomology (context) - Milne - 1980
22   Quasifaserungen und unendliche symmetrische Produkte (context) - Dold, Thom - 1958
19   Simplicial objects in a Grothendieck Topos (context) - Jardine - 1986
18   The Bloch-Kato conjecture and motivic cohomology with finite.. - Suslin, Voevodsky - 1995
18   The Milnor Conjecture - Voevodsky - 1996
17   Spectra and the Steenrod algebra (context) - Margolis - 1983
17   homotopy theory of schemes - Morel, Voevodsky - 1998
15   theory and quadratic forms (context) - Milnor, K- - 1970
15   The Steenrod algebra and its dual (context) - Milnor - 1958
9   theory and the norm residue homomorphism (context) - Suslin, K- - 1985
8   letter to (context) - Joyal - 1984
7   Values of Zeta-functions at non-negative integers (context) - Lichtenbaum - 1984
7   Abstract homotopy theory and generalized sheaf cohomology (context) - Brown - 1973
5   adic etale cohomology (context) - Bloch, Kato - 1986
3   Constructions of factorization systems in categories (context) - Bousfield - 1977
3   The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky - Geisser, Levine - 1998
2   Selecta Math (context) - schemes - 1996

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