{"id":"W4390952072","doi":"10.4153/s0008439524000092","title":"Borel reducibility of equivalence relations on $\\omega _1$","year":2024,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Università degli Studi di Genova","keywords":"Mathematics; Equivalence (formal languages); Equivalence relation; Pure mathematics; Borel equivalence relation; Discrete mathematics; Borel measure","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001374291,0.0006059665,0.0008865061,0.004145768,0.002618087,0.005685551,0.0009891188,0.0008867891,0.007347037],"category_scores_gemma":[0.004690278,0.0005829128,0.0009967923,0.001651186,0.005114287,0.005330873,0.002511594,0.003348291,0.0006772081],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002698404,"about_ca_system_score_gemma":0.0006902115,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00239427,"about_ca_topic_score_gemma":0.001871262,"domain_scores_codex":[0.9977033,0.0003370978,0.0001328963,0.0006054992,0.0007390343,0.0004822421],"domain_scores_gemma":[0.9959674,0.001968478,0.0005483931,0.0004849115,0.0006346987,0.0003960722],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003495817,0.00002404962,0.0005842453,0.00002353161,0.000008254389,0.0001038328,0.0003818599,0.0004464843,0.001093398,0.9931077,0.0004386073,0.003753078],"study_design_scores_gemma":[0.000009716181,0.00001573674,0.0009811686,0.00001351258,0.000007742811,0.0001028547,0.0001471078,0.001355772,0.001056638,0.9943604,0.001936286,0.00001313896],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8490264,0.0007586292,0.05104377,0.00157834,0.0001955122,0.00006154465,0.0005931221,0.0003539399,0.09638875],"genre_scores_gemma":[0.988214,0.0002051599,0.004333047,0.0001296903,0.0001589265,0.0000312421,0.0005232878,0.00006348111,0.006341101],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007347037,"threshold_uncertainty_score":0.02457833,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04084239251265345,"score_gpt":0.3250177610553387,"score_spread":0.2841753685426853,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}