The pseudo-orbit tracing property and expansiveness on the Cantor set
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- by Takashi Shimomura PDF
- Proc. Amer. Math. Soc. 106 (1989), 241-244 Request permission
Abstract:
The set of all the expansive homeomorphisms with the pseudo-orbit tracing property is dense in the space of all the homeomorphisms of the Cantor set with the topology of uniform convergence. Moreover a topologically transitive (resp. mixing) homeomorphism of the Cantor set is approximated uniformly by topologically transitive (resp. mixing) expansive homeomorphisms with the pseudo-orbit tracing property.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 241-244
- MSC: Primary 58F15; Secondary 54H20, 58F13
- DOI: https://doi.org/10.1090/S0002-9939-1989-0942637-2
- MathSciNet review: 942637