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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
MathSciNet review: 1097338
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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: http://dx.doi.org/10.1090/S0002-9939-1992-1097338-X
PII: S 0002-9939(1992)1097338-X
Keywords: Shadowing property, inverse limit space, shift map, pseudoarc
Article copyright: © Copyright 1992 American Mathematical Society