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ON THE RETRACTS AND RECODINGS OF CONTINUING CODES
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 Title & Authors
ON THE RETRACTS AND RECODINGS OF CONTINUING CODES
YOO, JISANG;
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 Abstract
We investigate what happens when we try to work with continuing block codes (i.e., left or right continuing factor maps) between shift spaces that may not be shifts of finite type. For example, we demonstrate that continuing block codes on strictly sofic shifts do not behave as well as those on shifts of finite type; a continuing block code on a sofic shift need not have a uniformly bounded retract, unlike one on a shift of finite type. A right eresolving code on a sofic shift can display any behavior arbitrary block codes can have. We also show that a right continuing factor of a shift of finite type is always a shift of finite type.
 Keywords
eresolving;right continuing code;infinite-to-one code;SFT;factor map;
 Language
English
 Cited by
 References
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