{"paper":{"title":"On large cardinals and generalized Baire spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"David Asper\\'o, Miguel Moreno, Tapani Hyttinen, Vadim Kulikov","submitted_at":"2017-08-09T12:38:36Z","abstract_excerpt":"Working under large cardinal assumptions, we study the Borel-reducibility between equivalence relations modulo restrictions of the non-stationary ideal on some fixed cardinal $\\kappa$. We show the consistency of $E^{\\lambda^{++},\\lambda^{++}}_{\\lambda\\text{-club}}$, the relation of equivalence modulo the non-stationary ideal restricted to $S^{\\lambda^{++}}_\\lambda$ in the space $(\\lambda^{++})^{\\lambda^{++}}$, being continuously reducible to $E^{2,\\lambda^{++}}_{\\lambda^+\\text{-club}}$, the relation of equivalence modulo the non-stationary ideal restricted to $S^{\\lambda^{++}}_{\\lambda^+}$ in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02814","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"}