ε-Chaos on Inverse Limit Space |
Received:June 21, 1993 |
Key Words:
inverse limit space shift map ε-chaos.
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Abstract: |
Let f be a surjective to map of a compact metric space and denote by σf the shift map of the inverse limit space. We prove that there exist ε and ε′>0 , f is ε-chaos iff σf is ε′-chaos; On the other hand, we also consider the condition as f is not onto or f is interval map. |
Citation: |
DOI:10.3770/j.issn:1000-341X.1996.03.013 |
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