Topological Factors of Rank-One Subshifts

2019/10/20 by Su Gao, Gao, Su, Caleb Ziegler +1
Computer Science · Mathematics · #Computability, Logic, AI Algorithms #Mathematical Dynamics and Fractals #math.DS #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1910.09050

arxiv created 2019/10/20 · arxiv updated 2019/10/22

Abstract

We study topological factors of rank-one subshifts and prove that those factors that are themselves subshifts are either finite or isomorphic to the original rank-one subshifts. Thus, we completely characterize the subshift factors of rank-one subshifts.

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