On the C 1 Ω -stability conjecture

Jacob Palis

Publications Mathématiques de l'IHÉS (1987)

  • Volume: 66, page 211-215
  • ISSN: 0073-8301

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Palis, Jacob. "On the $C^1$$\Omega $-stability conjecture." Publications Mathématiques de l'IHÉS 66 (1987): 211-215. <http://eudml.org/doc/104027>.

@article{Palis1987,
author = {Palis, Jacob},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {nonwandering set of a diffeomorphism; -stability; Axiom A},
language = {eng},
pages = {211-215},
publisher = {Institut des Hautes Études Scientifiques},
title = {On the $C^1$$\Omega $-stability conjecture},
url = {http://eudml.org/doc/104027},
volume = {66},
year = {1987},
}

TY - JOUR
AU - Palis, Jacob
TI - On the $C^1$$\Omega $-stability conjecture
JO - Publications Mathématiques de l'IHÉS
PY - 1987
PB - Institut des Hautes Études Scientifiques
VL - 66
SP - 211
EP - 215
LA - eng
KW - nonwandering set of a diffeomorphism; -stability; Axiom A
UR - http://eudml.org/doc/104027
ER -

References

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  1. [1] R. BOWEN, On Axiom A diffeomorphisms, Conference Board Math. Sciences, 35, Amer. Math. Soc., 1977. Zbl0383.58010MR58 #2888
  2. [2] M. HIRSCH and C. PUGH, Stable manifolds and hyperbolic sets, Global Analysis, Proc. AMS Symp. in Pure Math., 14 (1970), 133-163. Zbl0215.53001MR42 #6872
  3. [3] M. HIRSCH, J. PALIS, C. PUGH and M. SHUB, Neighborhoods of hyperbolic sets, Invent. Math., 9 (1970), 121-134. Zbl0191.21701MR41 #7232
  4. [4] R. MAÑÉ, A proof of the C1 Stability Conjecture, Publ. Math. I.H.E.S., 66 (1987), 161-210. Zbl0678.58022MR89e:58090
  5. [5] S. NEWHOUSE, Lectures on dynamical systems, Progress in Math., 8, Birkhäuser, 1980. Zbl0444.58001MR81m:58028
  6. [6] J. PALIS and S. SMALE, Structural stability theorems, Proc. AMS Symp. in Pure Math., 14 (1970), 223-231. Zbl0214.50702MR42 #2505
  7. [7] J. PALIS, A note on Ω-stability, same Proceedings, 14 (1970), 221-222. Zbl0214.50801MR42 #5276
  8. [8] S. SMALE, The Ω-stability theorem, same Proceedings, 14 (1970), 289-297. Zbl0205.54104MR42 #6852

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