[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2015.52.4.1375

ON THE RETRACTS AND RECODINGS OF CONTINUING CODES

YOO, JISANG (RESEARCH INSTITUTE OF BASIC SCIENCES AJOU UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.52, no.4, 2015 , pp. 1375-1382 More about this Journal

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;

Citations & Related Records

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