{"paper":{"title":"Square and Delta reflection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Laura Fontanella, Yair Hayut","submitted_at":"2016-02-03T11:03:17Z","abstract_excerpt":"Starting from infinitely many supercompact cardinals, we force a model of ZFC where $\\aleph_{\\omega^2+1}$ satisfies simultaneously a strong principle of reflection, called $\\Delta$-reflection, and a version of the square principle, denoted $\\square(\\aleph_{\\omega^2+1}).$ Thus we show that $\\aleph_{\\omega^2+1}$ can satisfy simultaneously a strong reflection principle and an anti-reflection principle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01264","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"}