Shadowing is generic

Topology and its Applications

Volumn 97, Issue 3, 1999, Pages 253-266

  Pilyugin, S Yu ^a   Plamenevskaya, O B ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

Dynamical systems; Generic property; Shadowing

Indexed keywords

EID: 0000174716     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(98)00062-5     Document Type: Article

References (12)

1. V.M. Alekseev, Quasirandom dynamical systems, Mat. Sb. 76 (1968) 72-134.
2. R. Corless and S.Yu. Pilyugin, Approximate and real trajectories for generic dynamical systems, J. Math. Anal. Appl. 189 (1995) 409-423.
3. R. Kirby and L.C. Siebenmann, Foundational Essays on Topological Manifolds, Smoothings, and Triangulations, Ann. of Math. Stud. 88 (Princeton Univ. Press, Princeton, NJ, 1977).
4. I. Mizera, Generic properties of one-dimensional dynamical systems, in: U. Krengel, K. Richter and V. Warstat, eds., Ergodic Theory and Related Topics III (Gustrov, 1990) (Springer-Verlag, Berlin, 1992) 163-173.
5. J. Munkres, Obstructions to the smoothing of piecewise-differentiable homeomorphisms, Ann. of Math. 72 (1960) 521-554.
6. J. Munkres, Elementary Differential Topology, Ann. of Math. Stud. 54 (Princeton Univ. Press, Princeton, NJ, 1966).
7. K. Odani, Generic homeomorphisms have the pseudo-orbit tracing property, Proc. Amer. Math. Soc. 110 (1990) 281-284.
8. 0-Topology, Lecture Notes in Math. 1571 (Springer, Berlin, 1994).
9. F. Quinn, Topological transversality holds in all dimensions, Bull. Amer. Math. Soc. 18 (1988) 145-148.
10. M. Shub, Structurally stable diffeomorphisms are dense, Bull. Amer. Math. Soc. 78 (1972) 817-818.
11. J. Whitehead, Manifolds and transverse fields in Euclidean space, Ann. of Math. 73 (1961) 154-212.
12. 1 have the pseudo-orbit tracing property, J. Fac. Sci. Univ. Tokyo, Sect. IA Math. 34 (1987) 51-55.