{"id":"W2151574560","doi":"10.1007/s00209-009-0566-z","title":"Metrizability of the space of $${\\mathbb{R}}$$ -places of a real function field","year":2009,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Metrization theorem; Mathematics; Field (mathematics); Space (punctuation); Real line; Function space; Extension (predicate logic); Function (biology); Degree (music); Field extension; Discrete mathematics; Combinatorics; Pure mathematics; Mathematical analysis; Separable space; Physics; Computer science","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002906941,0.0005033982,0.001491004,0.0002593318,0.0001309195,0.00002026651,0.0009124486,0.0005369987,0.001106876],"category_scores_gemma":[0.003580099,0.0003630347,0.0007314057,0.001392634,0.0004045084,0.000222562,0.0002692855,0.0005580207,0.00005520995],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000957063,"about_ca_system_score_gemma":0.0001748209,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009222759,"about_ca_topic_score_gemma":0.000007689978,"domain_scores_codex":[0.9955403,0.0005904384,0.001905932,0.0004732151,0.001023033,0.0004670741],"domain_scores_gemma":[0.9923557,0.002953897,0.00224072,0.001910598,0.0004202302,0.0001188387],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0006449117,0.002292453,0.00181876,0.005661938,0.000789616,0.000002174251,0.006266998,0.00001806311,0.0292055,0.9454214,0.004519065,0.003359134],"study_design_scores_gemma":[0.001980049,0.002128749,0.009059712,0.002735206,0.002538497,0.00001992142,0.002888252,0.0002659651,0.6853818,0.2889602,0.003300016,0.0007416385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9184409,0.002952144,0.009348484,0.001030041,0.001257252,0.001410881,0.0001476227,0.00007983189,0.06533283],"genre_scores_gemma":[0.9932685,0.0002106876,0.00507533,0.00005560308,0.0001607016,0.000009701329,0.000005448992,0.00004053616,0.001173423],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6564612,"threshold_uncertainty_score":0.9998822,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01591310277167163,"score_gpt":0.2631893249285666,"score_spread":0.247276222156895,"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."}}