Morphisms from non-periodic \mathbb{Z}^{2} subshifts I: constructing embeddings from homomorphisms
SAMUEL J. LIGHTWOOD · Ergodic Theory and Dynamical Systems · 2003
In this paper we introduce foundational techniques and prove the following: if X is a \mathbb{Z}^d subshift without periodic points, if Y is a \mathbb{Z}^d square mixing subshift of finite type containing a finite orbit and if there exists a homomorphism X\rightarrow Y, then X embeds into Y if and only if h(X)