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Categories of spectra and infinite loop spaces

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Category Theory, Homology Theory and Their Applications III

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 99))

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Bibliography

  1. Boardman, J. M. and Vogt, R. M., “Homotopy Everything H-spaces”, Mimeographed Notes, Math. Inst., Univ. of Warwick, (1968).

    Google Scholar 

  2. Dold, A. and Lashof, R., “Principal Quasifibrations and Fibre Homotopy Equivalence of Bundles”, Ill. J. Math., 3; 285–305, (1959).

    MathSciNet  MATH  Google Scholar 

  3. Dyer, E. and Lashof, R., “Homology of Iterated Loop Spaces”, Amer. J. Math., 84; 35–88, (1962).

    Article  MathSciNet  MATH  Google Scholar 

  4. Eilenberg, S. and MacLane, S., “Acyclic Models”, Amer. J. Math., 75; 189–199, (1953).

    Article  MathSciNet  MATH  Google Scholar 

  5. Hanner, O., “Some Theorems on Absolute Neighborhood Retracts”, Ark. Mat., 1; 389–408, (1950).

    Article  MathSciNet  MATH  Google Scholar 

  6. Hurewicz, W. and Wallman, H., Dimension Theory, Princeton Univ. Press, (1961).

    Google Scholar 

  7. Kuratowski, C., “Sur Les Espaces Localement Connexes et Péaniens en Dimension n”, Fund. Math., 24; 269–287, (1935).

    MATH  Google Scholar 

  8. Milgram, R. J., “Iterated Loop Spaces”, Annals of Math., 84; 386–403, (1966).

    Article  MathSciNet  MATH  Google Scholar 

  9. Milnor, J., “On Spaces Having the Homotopy Type of a CW-complex”, Trans. A.M.S., 90; 272–280, (1959).

    MathSciNet  MATH  Google Scholar 

  10. Spanier, E. H., Algebraic Topology, McGraw-Hill, Inc., (1966).

    Google Scholar 

  11. Swan, R. G., “The Homology of Cyclic Products”, Trans. A.M.S., 95; 27–68, (1960).

    Article  MathSciNet  MATH  Google Scholar 

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Peter J. Hilton

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© 1969 Spinger-Verlag

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May, J.P. (1969). Categories of spectra and infinite loop spaces. In: Hilton, P.J. (eds) Category Theory, Homology Theory and Their Applications III. Lecture Notes in Mathematics, vol 99. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081970

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  • DOI: https://doi.org/10.1007/BFb0081970

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04618-9

  • Online ISBN: 978-3-540-36140-4

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