{"paper":{"title":"Souslin quasi-orders and bi-embeddability of uncountable structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Alessandro Andretta, Luca Motto Ros","submitted_at":"2016-09-29T10:37:48Z","abstract_excerpt":"We provide analogues of the results from [FMR11, CMMR13] in the reference list (which correspond to the case $\\kappa = \\omega$) for arbitrary $\\kappa$-Souslin quasi-orders on any Polish space, for $\\kappa$ an infinite cardinal smaller than the cardinality of $\\mathbb{R}$. These generalizations yield a variety of results concerning the complexity of the embeddability relation between graphs or lattices of size $\\kappa$, the isometric embeddability relation between complete metric spaces of density character $\\kappa$, and the linear isometric embeddability relation between (real or complex) Bana"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09292","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"}