{"paper":{"title":"Selective but not Ramsey","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.LO","authors_text":"Timothy Trujillo","submitted_at":"2013-12-19T05:23:17Z","abstract_excerpt":"We give a partial answer to the following question of Dobrinen: For a given topological Ramsey space $\\mathcal{R}$, are the notions of selective for $\\mathcal{R}$ and Ramsey for $\\mathcal{R}$ equivalent? Every topological Ramsey space $\\mathcal{R}$ has an associated notion of Ramsey ultrafilter for $\\mathcal{R}$ and selective ultrafilter for $\\mathcal{R}$ (see \\cite{MijaresSelective}). If $\\mathcal{R}$ is taken to be the Ellentuck space then the two concepts reduce to the familiar notions of Ramsey and selective ultrafilters on $\\omega$; so by a well-known result of Kunen the two are equivalen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5411","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"}