On images of sofic systems

Details On images of sofic systems On images of sofic systems

2011-01-10

arxiv.org/abs/1101.1750v1

Mathematics

Dynamical Systems

22 pages

Scientific paper

Let $\Sigma$ and $\bar\Sigma$ be fnite alphabets. For a topologically transitive sofic system $ X\subset \Sigma^{\Bbb Z}$ and a sofic system $\bar X\subset \bar\Sigma^{\Bbb Z}$ we give a necessary and sufficient condition for the existence of a homomorphism from $X$ to $\bar X$. For a topologically transitive sofic system $X \subset \Sigma^{\Bbb Z}$ and a topologically transitive aperiodic sofic system $\bar X\subset \bar\Sigma^{\Bbb Z}$ we give a necessary and sufficient condition for the existence of a homomophism of $X$ onto $\bar X$.

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