{"paper":{"title":"Coloring Cantor sets and resolvability of pseudocompact spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Istv\\'an Juh\\'asz, Lajos Soukup, Zolt\\'an Szentmikl\\'ossy","submitted_at":"2017-02-08T14:54:16Z","abstract_excerpt":"Let us denote by $\\Phi(\\lambda,\\mu)$ the statement that $\\mathbb{B}(\\lambda) = D(\\lambda)^\\omega$, i.e. the Baire space of weight $\\lambda$, has a coloring with $\\mu$ colors such that every homeomorphic copy of the Cantor set $\\mathbb{C}$ in $\\mathbb{B}(\\lambda)$ picks up all the $\\mu$ colors.\n  We call a space $X\\,$ {\\em $\\pi$-regular} if it is Hausdorff and for every non-empty open set $U$ in $X$ there is a non-empty open set $V$ such that $\\overline{V} \\subset U$. We recall that a space $X$ is called {\\em feebly compact} if every locally finite collection of open sets in $X$ is finite. A Ty"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02454","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"}