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A ring spaces and algebraic K-theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 658)

Keywords

  • Spectral Sequence
  • Wreath Product
  • Homotopy Group
  • Topological Ring
  • Homology Theory

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Bibliography

  1. A. Borel. Stable real cohomology of arithmetic groups. Ann. Sci. Ecole Normale Sup. 4e serie t. 7 (1974), 235–272.

    MathSciNet  MATH  Google Scholar 

  2. F. Cohen, T. Lada, and J. P. May. The Homology of Iterated Loop Spaces. Springer Lecture Notes in Mathematics, Vol. 533, 1976.

    Google Scholar 

  3. A. Dold and R. Thom. Quasifaserungen und unendliche symmetrische produkte. Annals of Math. 67 (1958), 239–281.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. F. T. Farrell and W. C. Hsiang. Proc. Amer. Math. Soc. Summer Institute. Stanford, 1976. To appear.

    Google Scholar 

  5. D. Grayson. Higher algebraic K-theory:II (after D. Quillen). Springer Lecture Notes in Mathematics. Vol. 551, 216–240, 1976.

    MathSciNet  Google Scholar 

  6. T. Lada. An operad action on infinite loop space multiplication. Canadian J. Math. To appear.

    Google Scholar 

  7. J. L. Loday. Les matrices monomiales et le groupe de Whitehead Wh2. Springer Lecture Notes in Mathematics, Vol. 551, 155–163, 1976.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. J. P. May. Simplicial Objects in Algebraic Topology. D. van Nostrand, 1967.

    Google Scholar 

  9. J. P. May. Classifying Spaces and Fibrations. Memoirs Amer. Math. Soc. 155, 1975.

    Google Scholar 

  10. J. P. May. The Geometry of Iterated Loop Spaces. Springer Lecture Notes in Mathematics, Vol. 271, 1972.

    Google Scholar 

  11. J. P. May. E spaces, group completions, and permutative categories. London Math. Soc. Lecture Note Series 11, 61–94, 1974.

    MathSciNet  MATH  Google Scholar 

  12. J. P. May (with contributions by N. Ray, F. Quinn, and J. Tornehave). E Ring Spaces and E Ring Spectra. Springer Lecture Notes in Mathematics, Vol. 577, 1977.

    Google Scholar 

  13. J. P. May. Infinite loop space theory. Bull.Amer.Math. Soc. 83(1977), 456–494.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. J. P. May. The spectra associated to permutative categories. To appear.

    Google Scholar 

  15. J. P. May. The Homotopical Foundations of Algebraic Topology. Academic Press. In preparation.

    Google Scholar 

  16. J. P. May and R. Thomason. The uniqueness of infinite loop space machines. To appear.

    Google Scholar 

  17. R. J. Milgram. The bar construction and Abelian H-spaces. Illinois J. Math. 11(1957), 242–250.

    MathSciNet  MATH  Google Scholar 

  18. D. Quillen. Higher algebraic K-theory I. Springer Lecture Notes in Mathematics, Vol. 341, 85–147, 1973.

    CrossRef  MathSciNet  MATH  Google Scholar 

  19. D. Quillen. Letter from Quillen to Milnor on \(\operatorname{Im} \left( {\pi _i 0\xrightarrow{J}\pi _i^s \to K_i Z} \right)\). Springer Lecture Notes in Mathematics, Vol. 551, 182–188, 1976.

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. G. Segal. Categories and cohomology theories. Topology 13(1974), 293–312.

    CrossRef  MathSciNet  MATH  Google Scholar 

  21. J. B. Wagoner. Delooping classifying spaces in algebraic K-theory. Topology 11(1972), 349–370.

    CrossRef  MathSciNet  MATH  Google Scholar 

  22. F. Waldhausen. Algebraic K-theory of topological spaces, I. Proc. Amer. Math. Soc. Summer Institute. Stanford, 1976. To appear.

    Google Scholar 

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© 1978 Springer-Verlag

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May, J.P. (1978). A ring spaces and algebraic K-theory. In: Barratt, M.G., Mahowald, M.E. (eds) Geometric Applications of Homotopy Theory II. Lecture Notes in Mathematics, vol 658. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068722

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  • DOI: https://doi.org/10.1007/BFb0068722

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  • Print ISBN: 978-3-540-08859-2

  • Online ISBN: 978-3-540-35808-4

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