Mathematische Annalen

, Volume 144, Issue 2, pp 162–174 | Cite as

Schoenflies extensions of analytic families of diffeomorphisms

  • William Huebsch
  • Marston Morse
Article
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Keywords

Analytic Family 
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References

  1. [1]
    Bourbaki, N.: Théorie des ensembles, Fascicule de résultats. Paris: Hermann et Cie. 1958.Google Scholar
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    Bourbaki, N.: Topologie générale, Chaptire 9. Paris: Hermann et Cie. 1958.Google Scholar
  3. [3]
    Huebsch, William, andMarston Morse: The Schoenflies extension in the analytic case. Annali di Mat. (1961), to appear.Google Scholar
  4. [4]
    Huebsch, William, andMarston Morse: The dependence of the Schoenflies extension on an accessory parameter. J. d'Analyse Math.8, 209–271, (1960–61).Google Scholar
  5. [5]
    Morse, Marston: Differentiable mappings in the Schoenflies theorem. Compositio Math.14, 83–151 (1959).Google Scholar
  6. [6]
    Morse, Marston: An arbitrarily small analytic mapping intoR + of a proper, regular, analyticr-manifold inE m. Ist. Lombardo Accad. Sci. Lett. Rend. A.95 (1961).Google Scholar
  7. [7]
    Royden, H. L.: The analytic approximation of differentiable mappings. Math. Ann.139, 171–179 (1960).Google Scholar
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    Whitney, H.: Differentiable manifolds. Ann. Math.37, 645–680 (1936).Google Scholar
  9. [9]
    Whitney, H.: Analytic extensions of differentiable functions defined in closed sets. Trans. Am. Math. Soc.36, 63–89 (1934).Google Scholar

Copyright information

© Springer-Verlag 1961

Authors and Affiliations

  • William Huebsch
    • 1
  • Marston Morse
    • 1
  1. 1.Princeton

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