{"paper":{"title":"The Baire classification of strongly separately continuous functions on $\\ell_\\infty$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Olena Karlova, Tom\\'a\\v{s} Visnyai","submitted_at":"2017-08-27T19:53:43Z","abstract_excerpt":"We prove that for any $\\alpha\\in[0,\\omega_1)$ there exists a strongly separately continuous function $f:\\ell_\\infty\\to [0,1]$ such that $f$ belongs to the $(\\alpha+1)$'th /$(\\alpha+2)$'th/ Baire class and does not belong to the $\\alpha$'th Baire class if $\\alpha$ is finite /infinite/."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08128","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"}