A $3$-dimensional Abraham-Smale example
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- by Carl P. Simon PDF
- Proc. Amer. Math. Soc. 34 (1972), 629-630 Request permission
Abstract:
The author constructs an open set of non $\Omega$-stable diffeomorphisms on ${T^3}$.References
- R. Abraham and S. Smale, Nongenericity of $\Omega$-stability, Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968) Amer. Math. Soc., Providence, R.I., 1970, pp. 5–8. MR 0271986
- S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747–817. MR 228014, DOI 10.1090/S0002-9904-1967-11798-1
- R. F. Williams, The $“\textrm {DA}''$ maps of Smale and structural stability, Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968) Amer. Math. Soc., Providence, R.I., 1970, pp. 329–334. MR 0264705
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 34 (1972), 629-630
- MSC: Primary 58F10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0295391-1
- MathSciNet review: 0295391