{"paper":{"title":"On images of sofic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Wolfgang Krieger","submitted_at":"2011-01-10T09:46:36Z","abstract_excerpt":"Let $\\Sigma$ and $\\bar\\Sigma$ be finite alphabets. For topologically transitive sofic systems $ X\\subset \\Sigma^{\\Bbb Z}$ and $\\widetilde X\\subset \\widetilde\\Sigma^{\\Bbb Z}$ we give a necessary and sufficient condition for the existence of a homomorphism from $X$ to $\\widetilde X$. For topologically mixing sofic systems $X \\subset \\Sigma^{\\Bbb Z}$ and $\\widetilde X\\subset \\widetilde\\Sigma^{\\Bbb Z}$, such that the topological entropy of $\\widetilde X$ is less than the topological entropy of $X$, we give a necessary and sufficient condition for the existence of a homomorphism of $X$ onto $\\widet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1750","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}