{"id":"W3118576659","doi":"10.1007/s13398-021-01155-8","title":"Free Banach lattices under convexity conditions","year":2021,"lang":"en","type":"preprint","venue":"Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"Consejo Superior de Investigaciones Científicas; Natural Sciences and Engineering Research Council of Canada; Ministerio de Ciencia e Innovación; European Regional Development Fund; Agencia Estatal de Investigación; Ministerio de Ciencia, Innovación y Universidades","keywords":"Banach space; Mathematics; Convexity; Regular polygon; Pure mathematics; Connection (principal bundle); Approximation property; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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","research_integrity"],"consensus_categories":["metaepi_narrow","research_integrity"],"category_scores_codex":[0.003511747,0.001410228,0.002158833,0.00040316,0.0005466884,0.0009956347,0.002861426,0.004436817,0.0006741085],"category_scores_gemma":[0.005817843,0.001383411,0.0008198125,0.0008929299,0.001610794,0.0007831099,0.003013268,0.009921168,0.00004130151],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002629183,"about_ca_system_score_gemma":0.001752731,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001566511,"about_ca_topic_score_gemma":0.00006154925,"domain_scores_codex":[0.9909871,0.002297656,0.001618305,0.001865981,0.001310458,0.001920544],"domain_scores_gemma":[0.9881689,0.006050898,0.001509886,0.00284671,0.0004927975,0.0009308358],"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":[0.0001567005,0.0004267143,0.00106341,0.004616631,0.0007539583,0.001202238,0.002249891,0.0002705331,0.01193749,0.9656895,0.01126608,0.0003668145],"study_design_scores_gemma":[0.001497772,0.0001129181,0.007361025,0.004092135,0.002138436,0.001632733,0.003983166,0.002119801,0.006717953,0.9585893,0.008554688,0.003200066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9652845,0.007180399,0.005568858,0.002854388,0.0003441245,0.001724586,0.001176421,0.001354379,0.0145124],"genre_scores_gemma":[0.9590555,0.005530787,0.03151879,0.001238726,0.0005984117,0.0003048567,0.0004233701,0.0003178729,0.001011699],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02594994,"threshold_uncertainty_score":0.9998648,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03360463263214714,"score_gpt":0.3576857140936861,"score_spread":0.324081081461539,"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."}}