{"paper":{"title":"On a question of Silver about gap-two cardinal transfer principles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Mohammad Golshani, Shahram Mohsenipour","submitted_at":"2017-01-03T11:12:44Z","abstract_excerpt":"Assuming the existence of a Mahlo cardinal, we produce a generic extension of G\\\"{o}del's constructible universe $L$, in which the transfer principles $(\\aleph_2, \\aleph_0) \\to (\\aleph_3, \\aleph_1)$ and $(\\aleph_3, \\aleph_1) \\to (\\aleph_2, \\aleph_0)$ fail simultaneously. The result answers a question of Silver from 1971. We also extend our result to higher gaps."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.00653","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"}