{"paper":{"title":"Construction of labyrinths in pseudoconvex domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"{\\L}ukasz Kosi\\'nski, St\\'ephane Charpentier","submitted_at":"2019-07-05T12:56:30Z","abstract_excerpt":"We build in a given pseudoconvex (Runge) domain $D$ of $\\mathbb{C}^N$ a $\\mathcal O(D)$ convex set $\\Gamma$, every connected component of which is a holomorphically contractible (convex) compact set, enjoying the property that any continuous path $\\gamma:[0,1)\\rightarrow D$ with $\\lim _{r\\rightarrow 1}\\gamma(r)\\in \\partial D$ and omitting $\\Gamma$ has infinite length. This solves a problem left open in a recent paper by Alarc\\'on and Forstneri\\v{c}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.02803","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"}