{"id":"W1487235877","doi":"10.1090/s0894-0347-03-00427-2","title":"Quasianalytic Denjoy-Carleman classes and o-minimality","year":2003,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":149,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique; National Science Foundation","keywords":"Mathematics; Closure (psychology); Pure mathematics; Class (philosophy); Field (mathematics); Decomposition","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.000474657,0.0002893564,0.0003605029,0.0007879328,0.0009242173,0.001387305,0.0004445183,0.0002765798,0.004011716],"category_scores_gemma":[0.00157358,0.0001239134,0.0003654058,0.0004071498,0.002323562,0.002731338,0.001598705,0.001128667,0.0002803868],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007406962,"about_ca_system_score_gemma":0.0003589147,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007858209,"about_ca_topic_score_gemma":0.0007481931,"domain_scores_codex":[0.999727,0.00003550698,0.0000110129,0.00005167457,0.00008261661,0.00009234214],"domain_scores_gemma":[0.9992226,0.000300844,0.0001186196,0.00008754843,0.00008591749,0.0001844249],"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":[0.00001683343,0.000005837807,0.0002612321,0.0000139904,0.00000193195,0.00004546998,0.0001502846,0.0004020875,0.001555556,0.9955522,0.0002148162,0.001779674],"study_design_scores_gemma":[0.00001351528,0.00002855699,0.0009408623,0.00001410993,0.000007817076,0.0002602152,0.0003600262,0.006510721,0.003762988,0.9811607,0.006925001,0.00001550896],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8194874,0.0005586199,0.07746311,0.0009737404,0.00006527132,0.00003234248,0.0001811112,0.0001104035,0.1011281],"genre_scores_gemma":[0.9864116,0.0001879459,0.00641812,0.00006122547,0.00004904985,0.00002339277,0.00007103811,0.00002270224,0.006754943],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004011716,"threshold_uncertainty_score":0.01342052,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02843732664203493,"score_gpt":0.336049795123453,"score_spread":0.3076124684814181,"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."}}