Abstract
We prove a conjecture of J. Palis: Any diffeomorphism of a compact manifold can be $C^1$-approximated by a Morse-Smale diffeomorphism or by a diffeomorphism having a transverse homoclinic intersection.
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JOURNAL = {Ergodic Theory Dynam. Systems},
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MRNUMBER = {2007d:37018},
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[smale-horseshoe] S. Smale, "Diffeomorphisms with many periodic points," in Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse), Princeton, N.J.: Princeton Univ. Press, 1965, pp. 63-80.
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AUTHOR = {Smale, Stephen},
TITLE = {Diffeomorphisms with many periodic points},
BOOKTITLE = {Differential and {C}ombinatorial {T}opology ({A} {S}ymposium in {H}onor of {M}arston {M}orse)},
PAGES = {63--80},
PUBLISHER = {Princeton Univ. Press},
ADDRESS = {Princeton, N.J.},
YEAR = {1965},
MRCLASS = {57.47},
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ZBLNUMBER = {0142.41103},
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VOLUME = {73},
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ISSN = {0002-9904},
MRCLASS = {57.47 (34.00)},
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[zhang] Y. Zhang, "Codimension one dominated splittings," Peking University, thesis , 2001.
@techreport{zhang,
author = {Zhang, Y.},
TITLE = {Codimension one dominated splittings},
TYPE = {thesis},
INSTITUTION = {Peking University},
YEAR = {2001},
ZBLCOMMENT = {BIBPROC: YEAR doesn't match found ZBLNUMBER},
ZBLNUMBER = {1085.37025},
}
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