Skip to main content
Log in

An algebraic model forG-simple homotopy types

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Adams, J.F., Hilton, P.J.: On the chain algebra of a loop space. Comment. Math. Helv.30, 305–330 (1956)

    Google Scholar 

  2. Bass, H.: Algebraic K-theory. New York: Benjamin 1968

    Google Scholar 

  3. Baues, H.J., Lemaire, J.M.: Minimal models in homotopy theory. Math. Ann.225, 219–242 (1977)

    Google Scholar 

  4. Borel, A., Harish-Chandra: Arithmetic subgroups of algebraic groups. Ann. Math.75, 485–535 (1962)

    Google Scholar 

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

    Google Scholar 

  6. Bredon, G.E.: Equivariant cohomology theories. Lecture Notes in Math. 34. Berlin, Heidelberg, New York: Springer-Verlag 1967

    Google Scholar 

  7. Tom Dieck, T., Petrie, T.: The homotopy structure of finite group actions on spheres. Lecture Notes in Math. 741, pp. 222–243. Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

  8. Dovermann, K.H., Rothenberg, M.: An equivariant surgery sequence and diffeomorphism and homeomorphism classification. Preprint, 1983

  9. Elmendorf, A.D.: Systems of fixed point sets. Trans. Am. Math. Soc.277, 275–284 (1983)

    Google Scholar 

  10. Illman, S.: Whitehead torsion and group action. Ann. Acad. Sci. Fenn. Ser. AI Math. No. 588 (1974)

  11. May, J.P.: Simplicial objects in algebraic topology. Van Nostrand, Princeton, NJ, 1967

    Google Scholar 

  12. Milnor, J.W.: Whitehead torsion. Bull. Amer. Math. Soc.72, 358–426 (1966)

    Google Scholar 

  13. Neisendorfer, J.: Lie algebras, coalgebras and rational homotopy theory for nilpotent spaces. Pac. J. Math.74, 429–460 (1978)

    Google Scholar 

  14. Quillen, D.: Rational homotopy theory. Ann. Math.90, 205–295 (1969)

    Google Scholar 

  15. Rothenberg, M.: Torsion invariants and finite transformation groups. Proc. Sympos. Pure Math. AMS32, 267–313 (1978)

    Google Scholar 

  16. Rothenberg, M.: Homotopy type ofG-spheres. Lecture Notes in Math. 763, pp. 573–590. Berlin, Heidelberg, New York: Springer, 1979

    Google Scholar 

  17. Sullivan, D.: Infinitesimal computations in topology. Publ. Math. IHES No.47, 269–331 (1978)

    Google Scholar 

  18. Triantafillou, G.: Equivariant minimal models. Trans. Amer. Math. Soc.274, 509–532 (1982)

    Google Scholar 

  19. Triantafillou, G.: Rationalization of HopfG-spaces. Math. Z.182, 485–500 (1983)

    Google Scholar 

  20. Triantafillou, G.: An algebraic model forG-homotopy types. Astérisque113–114, 312–337 (1984)

    Google Scholar 

  21. Wall, C.T.C.: Norms of units in group rings. Proc. London Math. Soc.29, 593–632 (1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Partially supported by NSF grant MCS 7701623

Partially supported by a grant from the Graduate School of the University of Minnesota

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rothenberg, M., Triantafillou, G. An algebraic model forG-simple homotopy types. Math. Ann. 269, 301–331 (1984). https://doi.org/10.1007/BF01450698

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01450698

Keywords

Navigation