References
- N. Aoki, On homeomorphisms with pseudo-orbit tracing property, Tokyo J. Math. 6 (1983), no. 2, 329-334. https://doi.org/10.3836/tjm/1270213874
- A. Arbieto, Periodic orbits and expansiveness, Math. Z. 269 (2011), no. 3-4, 801-807. https://doi.org/10.1007/s00209-010-0767-5
- R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, second revised edition, Lecture Notes in Mathematics, 470, Springer-Verlag, Berlin, 2008.
- B. Carvalho and W. Cordeiro, n-expansive homeomorphisms with the shadowing property, J. Differential Equations 261 (2016), no. 6, 3734-3755. https://doi.org/10.1016/j.jde.2016.06.003
- W. Cordeiro, M. Denker, and X. Zhang, On specification and measure expansiveness, Discrete Contin. Dyn. Syst. 37 (2017), no. 4, 1941-1957. https://doi.org/10.3934/dcds.2017082
- T. Das, K. Lee, D. Richeson, and J. Wiseman, Spectral decomposition for topologically Anosov homeomorphisms on noncompact and non-metrizable spaces, Topology Appl. 160 (2013), no. 1, 149-158. https://doi.org/10.1016/j.topol.2012.10.010
- J. Franks, Necessary conditions for stability of diffeomorphisms, Trans. Amer. Math. Soc. 158 (1971), 301-308. https://doi.org/10.2307/1995906
-
C. Good and J. Meddaugh, Orbital shadowing, internal chain transitivity and
$\omega$ -limit sets, Ergodic Theory Dynam. Systems 38 (2018), no. 1, 143-154. https://doi.org/10.1017/etds.2016.30 - K. Lee, N.-T. Nguyen, and Y. Yang, Topological stability and spectral decomposition for homeomorphisms on noncompact spaces, Discrete Contin. Dyn. Syst. 38 (2018), no. 5, 2487-2503. https://doi.org/10.3934/dcds.2018103
- C. A. Morales and V. F. Sirvent, Expansive measures, Publicacoes Matematicas do IMPA., Instituto Nacional de Matematica Pura e Aplicada (IMPA), Rio de Janeiro, 2013.
- P. Oprocha, Shadowing, thick sets and the Ramsey property, Ergodic Theory Dynam. Systems 36 (2016), no. 5, 1582-1595. https://doi.org/10.1017/etds.2014.130
- S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747-817. https://doi.org/10.1090/S0002-9904-1967-11798-1