{"paper":{"title":"Compact subspace of products of linearly ordered spaces and co-Namioka spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Volodymyr Mykhaylyuk","submitted_at":"2016-01-25T06:34:07Z","abstract_excerpt":"It is shown that for any Baire space $X$, linearly ordered compact spaces $Y_1,\\dots, Y_n$, compact space $Y\\subseteq Y_1\\times\\cdots \\times Y_n$ such that for every parallelepiped $W\\subseteq Y_1\\times\\cdots \\times Y_n$ the set $Y\\cap W$ is connected, and separately continuous mapping $f:X\\times Y\\to\\mathbb R$ there exists a dense in $X$ $G_\\delta$-set $A\\subseteq X$ such that $f$ is jointly continuous at every point of $A\\times Y$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06489","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"}