{"id":"W2950927696","doi":"10.48550/arxiv.math/0205291","title":"On a universality property of some abelian Polish groups","year":2002,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"Royal Society Te Apārangi; Royal Society; University of North Texas; Marsden Fund; National Science Foundation","keywords":"Universality (dynamical systems); Abelian group; Property (philosophy); Mathematics; Pure mathematics; Philosophy; Physics; Epistemology; Condensed matter physics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009837961,0.0004676407,0.0006306968,0.001475161,0.001622646,0.001897394,0.0004715832,0.0005409899,0.003221618],"category_scores_gemma":[0.0024934,0.0003488342,0.001102737,0.0009099048,0.00430125,0.005506472,0.003091642,0.00155274,0.00031568],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006203082,"about_ca_system_score_gemma":0.0002993317,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005074341,"about_ca_topic_score_gemma":0.0002859096,"domain_scores_codex":[0.999163,0.0001064852,0.00004756955,0.0003011588,0.0001549015,0.0002269237],"domain_scores_gemma":[0.9984107,0.0005782318,0.0002832848,0.0002752305,0.0001873909,0.0002652094],"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":[0.0000569371,0.00003398313,0.001026778,0.00003428225,0.00001532354,0.0002253128,0.0008568593,0.0004301943,0.004353465,0.9875865,0.0002679811,0.005112332],"study_design_scores_gemma":[0.00001940223,0.00009148079,0.001235507,0.00001806277,0.00003174192,0.0003359165,0.0003209002,0.003004841,0.004375225,0.9865037,0.004044813,0.00001845056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8712299,0.0008795584,0.09029439,0.0008293519,0.00009856522,0.00004525095,0.0001657079,0.0002113924,0.0362459],"genre_scores_gemma":[0.9901063,0.0002974994,0.006186821,0.000089894,0.0001245054,0.00003848976,0.0001396039,0.00003483547,0.002982134],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003221618,"threshold_uncertainty_score":0.01077741,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1455567110879099,"score_gpt":0.3189995808782353,"score_spread":0.1734428697903254,"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."}}