{"paper":{"title":"Cardinal invariants of cellular-Lindelof spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Angelo Bella, Santi Spadaro","submitted_at":"2018-11-01T22:26:53Z","abstract_excerpt":"A space $X$ is said to be \"cellular-Lindel\\\"of\" if for every cellular family $\\mathcal{U}$ there is a Lindel\\\"of subspace $L$ of $X$ which meets every element of $\\mathcal{U}$. Cellular-Lindel\\\"of spaces generalize both Lindel\\\"of spaces and spaces with the countable chain condition. Solving questions of Xuan and Song, we prove that every cellular-Lindel\\\"of monotonically normal space is Lindel\\\"of and that every cellular-Lindel\\\"of space with a regular $G_\\delta$-diagonal has cardinality at most $2^\\mathfrak{c}$. We also prove that every normal cellular-Lindel\\\"of first-countable space has ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.00660","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"}