{"paper":{"title":"On the cardinality of the $\\theta$-closed hull of sets II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Andrei Catalioto, Bruno Antonio Pansera, Filippo Cammaroto, Jack Porter","submitted_at":"2012-06-28T03:22:11Z","abstract_excerpt":"The research in this paper is a continuation of the investigation of the cardinality of the $\\theta$-closed hull of subsets of spaces. This research obtains new upper bounds of the cardinality of the $\\theta$-closed hull of subsets using cardinal functions of $\\theta$-bitightness (\\cite{Ca-Ko}), finite $\\theta$-bitightness (\\cite{Ca-Ca-Pa-Ts}) and $\\theta$-bitightness small number (\\cite{Ca-Ca-Pa-Ts}) of spaces. In the final section, examples of spaces are presented including one that answers a question posed in \\cite{Bo-Ca-Ma} and \\cite{Bo-Pa}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6554","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"}