Shadowing property for inverse limit spaces

Authors:
Liang Chen and Shi Hai Li

Journal:
Proc. Amer. Math. Soc. **115** (1992), 573-580

MSC:
Primary 58F10; Secondary 28D05, 54H20, 58F08

DOI:
https://doi.org/10.1090/S0002-9939-1992-1097338-X

MathSciNet review:
1097338

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Abstract | References | Similar Articles | Additional Information

Abstract: We investigate the relationship between the shadowing property for continuous maps on a compact metric space and that for the shift maps on the inverse limit spaces. As an example, we show that the shift map of some pseudoarc has the shadowing property.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1992-1097338-X

Keywords:
Shadowing property,
inverse limit space,
shift map,
pseudoarc

Article copyright:
© Copyright 1992
American Mathematical Society