关于开双连续码的存在性
On the existence of open and bi-continuing codes
摘要：
给定一个不可约sofic移位X，证明了一个低熵的不可约sofic移位Y是X的因子当且仅当它是X的开双连码因子.如果这些等价条件成立，并且Y是混合的，那么从X到Y的适当子移位的任何代码都可以扩展到X上的开放双连续代码。当X被假定为几乎指定的移位时，这些结果仍然有效，即，满足规范属性的不可约版本的子移位。
英文摘要：
Given an irreducible sofic shift X, we show that an an irreducible SFT Y of lower entropy is a factor of X if and only if it is a factor of X by an open bi-continuing code. If these equivalent conditions hold and Y is mixing, then any code from a proper subshift of X to Y can be extended to an open bi-continuing code on X. These results are still valid when X is assumed to be only an almost specified shift, i.e., a subshift satisfying an irreducible version of the specification property.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
