{"id":"W4240750389","doi":"10.1090/proc/15885","title":"Dense metrizable subspaces in powers of Corson compacta","year":2021,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Metrization theorem; Linear subspace; Countable set; Mathematics; Subspace topology; Pure mathematics; Power (physics); Mathematical analysis; Physics; Separable space","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006401674,0.0001606689,0.0007204389,0.00003227309,0.00006017636,0.000008671478,0.0003535053,0.00006757392,0.00007686191],"category_scores_gemma":[0.001692354,0.0001144336,0.0003302868,0.0009030509,0.001072532,0.00009196909,0.0001924575,0.00026221,0.000002907932],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005381855,"about_ca_system_score_gemma":0.00004455892,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008307336,"about_ca_topic_score_gemma":0.000001784536,"domain_scores_codex":[0.9987059,0.00002930696,0.000467778,0.0002065213,0.0003034722,0.0002869831],"domain_scores_gemma":[0.9979528,0.0009662974,0.0006170031,0.0001920258,0.0002139001,0.0000579259],"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":[0.000125063,0.001130406,0.02218186,0.001784324,0.0002924174,0.00000219548,0.009881357,0.000005147605,0.06593477,0.8952093,0.00308834,0.0003648946],"study_design_scores_gemma":[0.0003588172,0.00006798079,0.001087002,0.0002373757,0.00007830726,0.00002135111,0.01699538,0.000377025,0.08178743,0.8987757,0.00005956396,0.000154035],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9917141,0.00007619977,0.0008551354,0.0006371089,0.00002694525,0.0001641172,0.00000659035,0.00002834833,0.006491493],"genre_scores_gemma":[0.9426796,0.00004397444,0.05667242,0.0001399766,0.00001285052,0.000007376931,4.198309e-7,0.00002124253,0.0004221626],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05581729,"threshold_uncertainty_score":0.4666467,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02369956206316381,"score_gpt":0.309963601444605,"score_spread":0.2862640393814412,"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."}}