Shadowing property for inverse limit spaces

Chen, Liang; Li, Shi Hai

doi:10.1090/S0002-9939-1992-1097338-X

Shadowing property for inverse limit spaces
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Proc. Amer. Math. Soc. 115 (1992), 573-580 Request permission

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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