Abstract
The second half of this paper will be an outline of certain recent results of the author; the first half is an introduction to the program of “global analysis” formulated by S. Smale, required to explain the second half. Though the basic ideas of this program go back to Poincaré and G. D. Birkhoff, and important contributions were made by Pontrjagin, Kolmogoroff, Anasov and others, it is largely the work of Smale that has inspired the current flowering of the subject in this country.
Supported in part by NSF Grant GP 5591.
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References
Smale, S.: Differentiable Dynamical Systems, Mimeographed notes, Berkeley 1966–67. Bull. Amer. Math. Soc. 73, 747–817 (1967).
Williams, R. F.: A note on unstable homeomorphisms, Proc. A. M. S. 6, 308–9 (1955).
Williams, R. F.: One-dimensional non-wandering sets, Topology 6, 473–487 (1967).
Williams, R. F.: The zeta function of an attractor, to appear in the Proceedings of the Michigan State meeting on Topology 1967. (Mimeo notes, Northwestern University).
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Williams, R.F. (1968). Non-Compact Lie Group Actions. In: Mostert, P.S. (eds) Proceedings of the Conference on Transformation Groups. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46141-5_40
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DOI: https://doi.org/10.1007/978-3-642-46141-5_40
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