The Smale—Hirsch Principle in Catastrophe Theory

V. A. Vassil’ev

Chapter 13 in From Topology to Computation: Proceedings of the Smalefest, 1993, pp 117-128 from Springer

Abstract: 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].

Keywords: Spectral Sequence; Braid Group; Loop Space; Catastrophe Theory; Free Loop Space (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1007/978-1-4612-2740-3_13

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