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Vector fields generate few diffeomorphisms. (English) Zbl 0296.57008

##### MSC:
 57R50 Differential topological aspects of diffeomorphisms 58D05 Groups of diffeomorphisms and homeomorphisms as manifolds 57R25 Vector fields, frame fields in differential topology
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##### References:
 [1] Philip Hartman, On local homeomorphisms of Euclidean spaces, Bol. Soc. Mat. Mexicana (2) 5 (1960), 220 – 241. · Zbl 0127.30202 [2] Nancy Kopell, Commuting diffeomorphisms, Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968), Amer. Math. Soc., Providence, R.I., 1970, pp. 165 – 184. · Zbl 0225.57020 [3] Nancy Kopell, Commuting diffeomorphisms, Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968), Amer. Math. Soc., Providence, R.I., 1970, pp. 165 – 184. · Zbl 0225.57020 [4] P. F. Lam, Embedding a homeomorphism in a flow subject to differentiability conditions, Topological Dynamics, Benjamin, New York, 1968, pp. 319-333. · Zbl 0199.59203 [5] J. Palis, On Morse-Smale dynamical systems, Topology 8 (1968), 385 – 404. · Zbl 0189.23902 · doi:10.1016/0040-9383(69)90024-X · doi.org [6] 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 · doi.org [7] S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747 – 817. · Zbl 0202.55202 [8] S. Smale, The \Omega -stability theorem, Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968), Amer. Math. Soc., Providence, r.I., 1970, pp. 289 – 297. [9] Shlomo Sternberg, Local \?$$^{n}$$ transformations of the real line, Duke Math. J. 24 (1957), 97 – 102. · Zbl 0077.06201
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