{"paper":{"title":"The Jensen covering property","license":"","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Ernest Schimmerling, W. Hugh Woodin","submitted_at":"1997-02-18T00:00:00Z","abstract_excerpt":"An optimal extension of the Jensen covering lemma, within the limits imposed by Prikry forcing, is proved.  If L[E] is an \"iterable\" weasel with no measurable cardinals, then either L[E] has \"indiscernibles\", or every uncountable set of ordinals is contained in a set in L[E] of the same cardinality.  (The terms \"iterable\" and \"indiscernibles\" are made precise in the paper.)  Most importantly, there is no hypothesis explicitly limiting the large cardinals which are consistent in L[E]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9702208","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"}