{"paper":{"title":"Creature forcing and five cardinal characteristics in Cicho\\'{n}'s diagram","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Arthur Fischer, Jakob Kellner, Martin Goldstern, Saharon Shelah","submitted_at":"2014-02-03T12:43:45Z","abstract_excerpt":"We use a (countable support) creature construction to show that consistently\n  \\[\n  \\mathfrak d=\\aleph_1=\n  \\text{cov}(\\text{NULL})\n  <\n  \\text{non}(\\text{MEAGER})\n  <\n  \\text{non}(\\text{NULL})\n  <\n  \\text{cof}(\\text{NULL})\n  <\n  2^{\\aleph_0}. \\]\n  The same method shows the consistency of\n  \\[\n  \\mathfrak d=\\aleph_1=\n  \\text{cov}(\\text{NULL})\n  <\n  \\text{non}(\\text{NULL})\n  <\n  \\text{non}(\\text{MEAGER})\n  <\n  \\text{cof}(\\text{NULL})\n  <\n  2^{\\aleph_0}.\n  \\]"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0367","kind":"arxiv","version":4},"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"}