대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제52권4호
  • /
  • Pages.1375-1382
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  • 2015
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ON THE RETRACTS AND RECODINGS OF CONTINUING CODES

  • YOO, JISANG (RESEARCH INSTITUTE OF BASIC SCIENCES AJOU UNIVERSITY)
  • 투고 : 2014.10.27
  • 발행 : 2015.07.31
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초록

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.

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참고문헌

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