{"paper":{"title":"On equicontinuity of mappings with branching in the closure of a domain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Evgeny Sevost'yanov","submitted_at":"2015-05-24T21:41:05Z","abstract_excerpt":"In the present paper, questions about a local behavior of mappings $f:D\\rightarrow \\overline{{\\Bbb R}^n},$ $n\\ge 2,$ in $\\overline{D}$ are studied. Under some conditions on a measurable function $Q(x),$ $Q:D\\rightarrow [0, \\infty],$ and boundaries of $D$ and $D^{\\,\\prime}=f(D),$ it is showed that a family of open discrete map\\-ping $f:D\\rightarrow \\overline{{\\Bbb R}^n},$ $n\\ge 2,$ with characteristic of quasiconformality $Q(x),$ is equicontinuous in $\\overline{D}.$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06490","kind":"arxiv","version":3},"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"}