CONSTRUCTION OF SMOOTH “SOURCE-SINK” ARCS IN THE SPACE OF DIFFEOMORPHISMS OF A TWO-DIMENSIONAL SPHERE

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Resumo

It is well known that the mapping class group of the two-dimensional sphere

Sobre autores

Е. Nozdrinova

National Research University Higher School of Economics

Email: maati@mail.ru
Nizhny Novgorod, Russia

О. Pochinka

National Research University Higher School of Economics

Email: olga-pochinka@yandex.ru
Nizhny Novgorod, Russia

E. Tsaplina

National Research University Higher School of Economics

Email: ktsaplina11@mail.ru
Nizhny Novgorod, Russia

Bibliografia

  1. Munkres J. Differentiable isotopies on the 2sphere // Michigan Mathematical Journal. 1960. V. 7. № 3. P. 193–197.
  2. Palis J., Pugh C. Fifty problems in dynamical systems // Dynamical Systems—Warwick 1974: Proceedings of a Symposium Held at the University of Warwick 1973/74. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. P. 345–353.
  3. Newhouse S., Palis J., Takens F. Stable arcs of diffeomorphisms // Bull. Amer. Math. Soc. 1976. V. 82. № 3. P. 499–502.
  4. Medvedev T. V., Nozdrinova E., Pochinka O. Components of Stable Isotopy Connectedness of Morse ”— Smale Diffeomorphisms // Regular and Chaotic Dynamics. 2022. V. 27. № 1. P. 77–97.
  5. Grines V. Z., Medvedev T. V., Pochinka O. V. Dynamical systems on 2-and 3-manifolds // Cham: Springer. 2016. V. 46.
  6. Bonatti C., Grines V. Z., Medvedev V. S., Pochinka O. V. Bifurcations of Morse-Smale diffeomorphisms with wildly embedded separatrices // Proceedings of the Steklov Institute of Mathematics. 2007. V. 256. P. 47–61.
  7. Милнор Дж. Теорема об ℎ-кобордизме. 1969.
  8. Banyaga A. On the structure of the group of equivariant diffeomorphisms // Topology. 1977. V. 16. № 3. P. 279–283.
  9. Rolfsen D. Knots and links // American Mathematical Soc., 2003. P. 346.
  10. Lickorish W. B. R. Homeomorphisms of nonorientable two-manifolds // Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press, 1963. V. 59. № 2. P. 307–317.
  11. Косневски Ч. Начальный курс алгебраической топологии // М.: Изд-во Мир. 1983. Т. 304.
  12. Hirsch M. W. Differential topology // Springer Science Business Media, 2012. V. 33.
  13. Franks J. Necessary conditions for stability of diffeomorphisms // Transactions of the American Mathematical Society. 1971. V. 158. № 2. P. 301–308.
  14. Gourmelon N. A Franks’ lemma that preserves invariant manifolds // Ergodic Theory and Dynamical Systems. 2016. V. 36. № 4. P. 1167–1203
  15. Палис Ж., Ди Мелу В. Геометрическая теория динамических систем. 1986.

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