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Closing stable and unstable manifolds on the two sphere. (English) Zbl 0275.58013


MSC:

37C75 Stability theory for smooth dynamical systems
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[1] Ralph Abraham and Joel Robbin, Transversal mappings and flows, An appendix by Al Kelley, W. A. Benjamin, Inc., New York-Amsterdam, 1967. · Zbl 0171.44404
[2] Gustave Choquet, Lectures on analysis. Vol. I: Integration and topological vector spaces, Edited by J. Marsden, T. Lance and S. Gelbart, W. A. Benjamin, Inc., New York-Amsterdam, 1969. · Zbl 0181.39601
[3] J. Palls, A note on \( \Omega \)-stability, Proc. Sympos. Pure Math., vol. 14, Amer. Math. Soc., Providence, R.I., 1970, pp. 221-222. MR 42 #5276.
[4] Charles C. Pugh, An improved closing lemma and a general density theorem, Amer. J. Math. 89 (1967), 1010 – 1021. · Zbl 0167.21804 · doi:10.2307/2373414
[5] M. Shub, Stability and genericity for diffeomorphisms, Dynamical systems (Proc. Sympos., Univ. Bahia, Salvador, 1971) Academic Press, New York, 1973, pp. 493 – 514.
[6] M. Shub and S. Smale, Beyond hyperbolicity, Ann. of Math. (2) 96 (1972), 587 – 591. · Zbl 0247.58008 · doi:10.2307/1970826
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