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The Smale—Hirsch Principle in Catastrophe Theory

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From Topology to Computation: Proceedings of the Smalefest

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Abstract

The Smale-Hirsch principle is an assertion that the space of smooth mappings M → N without singularities of a certain kind is similar to the space of admissible sections of the jet bundle J(M, N) → M (i.e., of the sections which do not meet the singular set in the jet space). The initial examples, in which this assertion holds, were found in [Smale, Hirsch 1, 2].

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Authors
  1. V. A. Vassil’ev
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Editor information

Editors and Affiliations

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

    Morris W. Hirsch

  2. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    Jerrold E. Marsden

  3. IBM Research, T.J. Watson Research Center, 10598-0218, Yorktown Heights, NY, USA

    Michael Shub

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© 1993 Springer-Verlag New York, Inc.

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Vassil’ev, V.A. (1993). The Smale—Hirsch Principle in Catastrophe Theory. In: Hirsch, M.W., Marsden, J.E., Shub, M. (eds) From Topology to Computation: Proceedings of the Smalefest. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2740-3_13

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  • DOI: https://doi.org/10.1007/978-1-4612-2740-3_13

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7648-7

  • Online ISBN: 978-1-4612-2740-3

  • eBook Packages: Springer Book Archive

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