{"paper":{"title":"Chains of P-points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"math.LO","authors_text":"Dilip Raghavan, Jonathan L. Verner","submitted_at":"2018-01-08T12:56:00Z","abstract_excerpt":"It is proved that the Continuum Hypothesis implies that any sequence of rapid P-points of length $<{\\mathfrak c}^{+}$ which is increasing with respect to the Rudin-Keisler ordering is bounded above by a rapid P-point. This is an improvement of a result from [Kuzeljevi\\'c, Raghavan: A long chain of P-points, arxiv:1607.07188 [math.LO]]. It is also proved that the notion of a $\\delta$-generic sequence is equivalent to an apparently much weaker notion. This allows the central definition used in the construction in [Kuzeljevi\\'c, Raghavan: A long chain of P-points, arxiv:1607.07188 [math.LO]] to b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.02410","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"}