{"paper":{"title":"On generalized shift transformation semigroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Fatemah Ayatollah Zadeh Shirazi, Fatemeh Ebrahimifar","submitted_at":"2017-11-29T10:52:00Z","abstract_excerpt":"In the following text we prove that for finite discrete $X$ with at least two elements and infinite $\\Gamma$, the generalized shift transformation semigroup $({\\mathcal S},X^\\Gamma)$ is equicontinuous (resp. has at least an equicontinuous point, is not sensitive) if and only if for all $w\\in\\Gamma$, $\\{\\varphi(w):\\sigma_\\varphi\\in{\\mathcal S}\\}$ is finite. We continue our study regarding distality and expansivity of $({\\mathcal S},X^\\Gamma)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.01105","kind":"arxiv","version":1},"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"}