{"id":"W1990757038","doi":"10.4153/cmb-2004-012-2","title":"On Universal Schauder Bases in Non-Archimedean Fréchet Spaces","year":2004,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Schauder basis; Basis (linear algebra); Subspace topology; Space (punctuation); Countable set; Fréchet space; Banach space; Pure mathematics; Combinatorics; Mathematical analysis; Functional analysis; Interpolation space; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004828708,0.0003386143,0.00046239,0.0004550169,0.0001195795,0.00004953119,0.0003888146,0.0001698971,0.007255339],"category_scores_gemma":[0.001753402,0.0003210716,0.0001071486,0.0002803236,0.0002376963,0.00005648119,0.00005367427,0.0004776568,0.007356456],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000749151,"about_ca_system_score_gemma":0.0003027436,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001627938,"about_ca_topic_score_gemma":0.01234907,"domain_scores_codex":[0.997982,0.00008367642,0.000359918,0.0004140126,0.0003259346,0.0008344891],"domain_scores_gemma":[0.99758,0.0009759697,0.00008880148,0.000599326,0.00004261472,0.0007133126],"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":[0.00003061337,0.0001763742,0.00001799592,0.0001217061,0.00002060515,0.0004045527,0.001040399,0.0002343872,0.00006031605,0.991512,0.006164153,0.0002168746],"study_design_scores_gemma":[0.001089977,0.0001108868,0.00005826909,0.0005131566,0.00002006404,0.0000259354,0.00106067,0.00007682681,0.0004873369,0.9902698,0.005872765,0.0004143345],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8551481,0.00003828874,0.0156083,0.02601226,0.0001262097,0.001111968,0.00005732757,0.0002060026,0.1016916],"genre_scores_gemma":[0.971964,0.000004224229,0.02352199,0.001278289,0.00007376225,0.00003544192,0.000006919359,0.00009728688,0.003018069],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1168159,"threshold_uncertainty_score":0.9999241,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01512332553961055,"score_gpt":0.2628854711857039,"score_spread":0.2477621456460934,"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."}}