{"paper":{"title":"P-points, MAD families and Cardinal Invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Osvaldo Guzman","submitted_at":"2018-10-23T06:33:32Z","abstract_excerpt":"This is the Ph.D. thesis of the author, which was written under the supervision of Michael Hru\\v{s}\\'{a}k at UNAM. The main contributions of this thesis are the following: There is a $+$-Ramsey \\textsf{MAD} family. This answers an old question of Michael Hru\\v{s}\\'{a}k. There are no $P$-points in the Silver model, answering a question of Michael Hru\\v{s}\\'{a}k (this is joint work with David Chodounsk\\'{y}. The statement \\textquotedblleft There are no $P$-points\\textquotedblright\\ is consistent with the continuum being arbitrarily large, this answers an open question regarding $P$-points. Every"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.09680","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"}