{"id":"W4399764344","doi":"10.1090/proc/16855","title":"Atomicity of Boolean algebras and vector lattices in terms of order convergence","year":2024,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"Agencia Estatal de Investigación; Natural Sciences and Engineering Research Council of Canada; Fundación Séneca","keywords":"Atomicity; Order (exchange); Mathematics; Convergence (economics); Computer science; Programming language; Business","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":[],"consensus_categories":[],"category_scores_codex":[0.0006208656,0.0001717901,0.0006230327,0.00003649455,0.00002535493,0.00001149013,0.0003400347,0.00004848759,0.00004032269],"category_scores_gemma":[0.0007994757,0.0001151847,0.0001905107,0.0006400227,0.001356371,0.0001470224,0.0002457836,0.0002099296,0.000001551167],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004124671,"about_ca_system_score_gemma":0.00002361346,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001283841,"about_ca_topic_score_gemma":0.000001320996,"domain_scores_codex":[0.9987141,0.00001333769,0.0005187296,0.0002249974,0.0003134154,0.0002154192],"domain_scores_gemma":[0.9984776,0.0007358209,0.0004891663,0.0001534482,0.00009527225,0.00004873017],"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":[0.00004239327,0.0002693996,0.01309578,0.007698093,0.0002069816,3.478432e-7,0.009952439,0.000001682637,0.07259977,0.8948167,0.0004533439,0.0008630698],"study_design_scores_gemma":[0.0001694584,0.00008256203,0.003219255,0.0008474863,0.0001060466,0.000005916194,0.003192594,0.003591668,0.05385818,0.9347588,0.00001407999,0.0001539362],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.997206,0.00007879052,0.0008980031,0.0003947697,0.00002118492,0.0002753893,0.00001209143,0.00004142069,0.001072314],"genre_scores_gemma":[0.959214,0.00005919533,0.04054884,0.00003650726,0.00001462907,0.00001014519,8.589191e-8,0.00002871383,0.00008788036],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03994211,"threshold_uncertainty_score":0.4997607,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01569951854382567,"score_gpt":0.2967440366606311,"score_spread":0.2810445181168054,"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."}}