[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b170010

ON CLOSING CODES

Shaldehi, Somayyeh Jangjooye (Faculty of Mathematical Sciences Alzahra University)

Publication Information

Bulletin of the Korean Mathematical Society / v.55, no.2, 2018 , pp. 359-366 More about this Journal

Abstract

We extend Jung's result about the relations among bi-closing, open and constant-to-one codes between general shift spaces to closing codes. We also show that any closing factor code ${\varphi}:X{\rightarrow}Y$ has a degree d, and it is proved that d is the minimal number of preimages of points in Y. Some other properties of closing codes are provided. Then, we show that any closing factor code is hyperbolic. This enables us to determine some shift spaces which preserved by closing codes.

Keywords

shift of finite type; sofic; synchronized; coded; open; constant-to-one; hyperbolic;

Citations & Related Records

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