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Algebraic K-theory as generalized sheaf cohomology

Higher K-Theory And Algebraic Geometry

Part of the Lecture Notes in Mathematics book series (LNM,volume 341)

Keywords

  • Spectral Sequence
  • Homotopy Theory
  • Weak Equivalence
  • Lift Property
  • Noetherian Scheme

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References

  1. D. W. Anderson, K-theory, simplicial complexes, and categories, Actes, Congres intern. math., 1970, Tome 2, 3–11.

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  2. K. S. Brown, Abstract homotopy theory and generalized sheaf cohomology, to appear.

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  3. A. Dold and D. Puppe, Homologie micht-additiven Funktoren; Anwendungen. Ann. Inst. Fourier 11 (1961), 201–312.

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  4. P. Gabriel and M. Zisman, Calculus of fractions and homotopy theory, Springer 1967.

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  5. S. M. Gersten, K-theory of regular schemes, Bull. Amer. Math. Soc., to appear in Jan. 1973.

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  6. R. Godement, Topologie algebrique et theorie des faisceaux, Hermann 1958.

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  7. J. P. May, Simplicial objects in algebraic topology, Van Nostrand 1967.

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  8. D. G. Quillen, Higher K-theory for categories with exact sequences, to appear in the proceedings of the June 1972 Oxford symposium, "New developments in topology".

    Google Scholar 

  9. D G. Quillen, Homotopical algebra, Lecture notes in mathematics no. 43, Springer, 1967.

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  10. D. G. Quillen, Rational homotopy theory, Annals of Math. 90 (1969), 205–295.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. G. W. Whitehead, Generalized homology theories, Trans. Amer. Math. Soc. 102 (1962), 227–283.

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© 1973 Springer-Verlag

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Brown, K.S., Gersten, S.M. (1973). Algebraic K-theory as generalized sheaf cohomology. In: Bass, H. (eds) Higher K-Theories. Lecture Notes in Mathematics, vol 341. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067062

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  • DOI: https://doi.org/10.1007/BFb0067062

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06434-3

  • Online ISBN: 978-3-540-37767-2

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