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Axiom A actions

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Inventiones mathematicae Aims and scope

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References

  1. Camacho, C.: On ℝk×ℤl actions. In: Dynamical systems. M. Peixoto, ed. pp. 23–71. New York: Academic Press 1973

    Google Scholar 

  2. Camacho, C.: Morse Smale ℝ2 actions on 2-manifolds. In: Dynamical systems. M. Peixoto, ed. pp. 71–75. New York: Academic Press 1973

    Google Scholar 

  3. Epstein, D.: Ends, the topology of 3-manifolds. pp. 110–117. M. Fort, ed. Prentice Hall, N.J., 1962

  4. Field, M.: Equivariant Dynamical Systems. Thesis. University of Warwick, Coventry, U.K.

  5. Freudenthal, H.: Über die Enden diskreter Räume und Gruppen. Comm. Math. Helv.17, 1–38 (44–45)

  6. Hirsch, M.: Foliations and noncompact transformation groups. Bull. A.M.S.76, 1020–1023 (1970)

    Google Scholar 

  7. Hirsch, M., Pugh, C.: Stable Manifolds and hyperbolic sets. Proc. Symp. Pure Math. of A.M.S.14, 133–165 (1970)

    Google Scholar 

  8. Hirsch, M., Palis, J., Pugh, C., Shub, M.: Neighborhoods of hyperbolic sets. Inventiones math.9, 121–134 (1970)

    Google Scholar 

  9. HPS., Hirsch, M., Pugh, C., Shub, M.: Invariant Manifolds. To appear

  10. Hopf, H.: Enden offener Räume und unendliche diskontinuierliche Gruppen. Comm. Math. Helv.16, 81–100 (1943–44)

    Google Scholar 

  11. van Kampen, E.: Remarks on systems of ordinary differential equations. AJM59, 144–152 (1937)

    Google Scholar 

  12. Kupka, I.: On two notions of structural stability. Preprint

  13. Palais, R.S.: Equivalence of nearly differentiable actions of a compact group. Bull. Amer. Math. Soc.67, 362–364 (1961)

    Google Scholar 

  14. Palis, J.: On Morse Smale Dynamical Systems, Topology8, 385–405 (1969)

    Google Scholar 

  15. Pugh, C., Shub, M.: The Ω Stability theorem for flows. Inventiones math.11, 150–158 (1970)

    Google Scholar 

  16. Smale, S.: Differentiable Dynamical Systems. Bull. AMS73, 747–817 (1967)

    Google Scholar 

  17. Smale, S.: The Ω-stability theorem. Proc. Symp. of Pure Math of A.M.S.14, 289–297 (1970)

    Google Scholar 

  18. Spanier, E.: Algebraic Topology. p. 235. New York: McGraw-Hill 1966

    Google Scholar 

  19. Zeeman, E.C.: The topology of the brain and visual perception. Topology of 3-manifolds, pp. 240–256. M. Fort, ed. Englewood Cliffs, N.J.: Prentice-Hall 1962

    Google Scholar 

  20. Zippin, L.: Two ended topological groups. Proc. A.M.S.1, 309–315 (1950)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, Calif, USA

    Charles Pugh

  2. Queens College, The City University of New York, 11367, New York, N.Y., USA

    Michael Shub

Authors
  1. Charles Pugh
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  2. Michael Shub
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Additional information

Partially supported by NSF Grant GP 14519.

Partially supported by NSF Grant GP 36522 and the Sloan Foundation.

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Pugh, C., Shub, M. Axiom A actions. Invent Math 29, 7–38 (1975). https://doi.org/10.1007/BF01405171

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  • DOI: https://doi.org/10.1007/BF01405171

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