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Equivariant self-homotopy equivalences of 2-stage G-spaces

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Groups of Self-Equivalences and Related Topics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1425))

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References

  1. G.E. Bredon, Equivariant Cohomology Theories, Lecture Notes in Mathematics 34 (1967), Springer-Verlag, Berlin-New York.

    MATH  Google Scholar 

  2. A.D. Elmendorf, Systems of Fixed Point Sets, Trans.Amer.Math.Soc 277 (1983), 275–284.

    Article  MathSciNet  MATH  Google Scholar 

  3. D.H. Gottlieb, Covering transformations an universal fibration, Illinois J. Math 13 (1969), 432–43

    MathSciNet  MATH  Google Scholar 

  4. A. Grothendieck, Sur quelques Points d'Algèbre Homologique, Tohoku Math. J. 9 (1957), 119–221.

    MathSciNet  MATH  Google Scholar 

  5. V.L. Hansen, Spaces of maps into Eilenberg-MacLane spaces, Canad. J. Math. XXXIII (1981), 782–785.

    Article  MATH  Google Scholar 

  6. J. McCleary, User's Guide to Spectral Sequences, Mathematics Lecture Series 12 (1985), Publish or Perish, Wilmington.

    MATH  Google Scholar 

  7. J.F. McClendon, Obstruction Theory in Fiber Spaces, Math. Z. 120 (1971), 1–17.

    Article  MathSciNet  MATH  Google Scholar 

  8. S. MacLane, Homologie. Third Corrected Printing, Die Grundlehren der mathematischen Wissenschaften 114 (1975), Springer-Verlag, Berlin-Heidelberg-New York.

    Google Scholar 

  9. K. Maruyama, A Remark on The Group of Self-homotopy Equivalences, Mem. Fac. Sci. Kyushu Univ.Ser. A 41 (1987), 81–84.

    MathSciNet  MATH  Google Scholar 

  10. J.M. Møller, Spaces of sections of Eilenberg-MacLane fibrations, Pacific J. Math 130 (1987), 171–186.

    Article  MathSciNet  MATH  Google Scholar 

  11. J.M. Møller, On Equivariant Function Spaces, Preprint (1987).

    Google Scholar 

  12. J.M.Møller, Homotopy Equivalences of Group Cohomology Spaces, Preprint (1988).

    Google Scholar 

  13. W. Shih, On the group ε(X) of homotopy equivalence maps, Bull. Amer. Math. Soc 492 (1964), 361–365.

    Article  MathSciNet  MATH  Google Scholar 

  14. R.M. Switzer, Counting elements in homotopy sets, Math. Z. 178 (1981), 527–554.

    Article  MathSciNet  MATH  Google Scholar 

  15. K. Tsukiyama, Self-homotopy-equivalences of a space with two non-vanishing homotopy groups, Proc. Amer. Math. Soc. 79 (1980), 134–138.

    Article  MathSciNet  MATH  Google Scholar 

  16. G.W. Whitehead, Elements of Homotopy Theory, Graduate Texts in Mathematics 61 (1978), Springer-Verlag, Berlin-Heidelberg-New York.

    MATH  Google Scholar 

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Renzo A. Piccinini

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© 1990 Springer-Verlag

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Møller, J.M. (1990). Equivariant self-homotopy equivalences of 2-stage G-spaces. In: Piccinini, R.A. (eds) Groups of Self-Equivalences and Related Topics. Lecture Notes in Mathematics, vol 1425. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083837

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  • DOI: https://doi.org/10.1007/BFb0083837

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52658-2

  • Online ISBN: 978-3-540-47091-5

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