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Homotopy limits and colimits

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References

  1. Araki, S., Yosimura, Z.: A spectral sequence associated with a cohomology theory of infiniteCW-complexes. Osaka J. Math.9, 351–365 (1972)

    Google Scholar 

  2. Boardman, J.M.: Stable homotopy theory. Mimeographed notes, University of Warwick, 1965

  3. Boardman, J.M., Vogt, R.M.: Homotopy invariant algebraic structures on topological spaces. Lecture Notes in Math. 347, Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  4. Bousfield, A.K., Kan, D.M.: Homotopy limits, completions and localizations. Lecture Notes in Math. 304, Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  5. tom Dieck, T.: Partitions of unity in homotopy theory. Compositio math.23, 159–167 (1971)

    Google Scholar 

  6. tom Dieck, T., Kamps, K.H., Puppe, D.: Homotopietheorie. Lecture Notes in Math. 157, Berlin-Heidelberg-New York: Springer 1970

    Google Scholar 

  7. Gabriel, P., Zisman, M.: Calculus of fractions and homotopy theory. Berlin-Heidelberg-New York Springer 1967

    Google Scholar 

  8. Kraus, J. F.: Zur Homotopietheorie schwacher, reduzierter und symmetrischer Produkträume. Dissertation, Universität Heidelberg (1970)

  9. Mac Lane, S.: Homology Berlin-Heidelberg-New York: Springer 1963

    Google Scholar 

  10. Mather, M.: Pull-backs in homotopy theory. Preprint

  11. Milnor, J.: On axiomatic homology theory. Pacific J. Math.12, 337–341 (1962)

    Google Scholar 

  12. Milnor, J.: Morse theory: Princeton: University Press 1963.

    Google Scholar 

  13. Puppe, D.: Homotopiemengen und ihre induzierten Abbildungen I. Math. Z.69, 299–344 (1958)

    Google Scholar 

  14. Segal, G. B.: Classifying spaces and spectral sequences. Inst. haut. Étud. sci., Publ. math.34, 105–112 (1968)

    Google Scholar 

  15. Strøm, A.: Note on cofibrations II. Math. Scandinav.22, 130–142 (1968)

    Google Scholar 

  16. Vogt, R. M.: Boardman's stable homotopy category. Lecture Notes Series 21, Aarhus Universitet (1970)

  17. Vogt, R. M.: Convenient categories of topological spaces for homotopy theory. Arch. der Math.22, 545–555 (1971)

    Google Scholar 

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  1. Mathematisches Institut der Universität des Saarlandes, D 6600, Saarbrücken, Federal Republic of Germany

    Rainer M. Vogt

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  1. Rainer M. Vogt
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Vogt, R.M. Homotopy limits and colimits. Math Z 134, 11–52 (1973). https://doi.org/10.1007/BF01219090

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