{"id":"W2042599589","doi":"10.1016/j.jfa.2013.12.024","title":"Disjointly homogeneous Banach lattices: Duality and complementation","year":2014,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Duality (order theory); Linear subspace; Homogeneous; Disjoint sets; Banach space; Pure mathematics; Class (philosophy); Focus (optics); Discrete mathematics; Combinatorics; Computer science","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":[0.001278815,0.0001194309,0.000411867,0.0003324762,0.0001205367,0.00003116118,0.00008408559,0.00003528019,0.0004094357],"category_scores_gemma":[0.0004718371,0.00009427042,0.000263335,0.0004353293,0.00006600205,0.0002086583,0.00003014622,0.0001422142,0.000005309946],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006967036,"about_ca_system_score_gemma":0.00002170366,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001066346,"about_ca_topic_score_gemma":0.00009288892,"domain_scores_codex":[0.9985116,0.0001943294,0.0005609833,0.0001330415,0.0004699123,0.0001301908],"domain_scores_gemma":[0.99791,0.0008181695,0.0006937699,0.0001577204,0.0003157092,0.0001045886],"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":[0.001769707,0.001949111,0.180224,0.0005541277,0.02991039,0.00008581151,0.002665807,0.06046179,0.0137225,0.6601334,0.01215921,0.03636423],"study_design_scores_gemma":[0.0020537,0.0004949597,0.1042987,0.00003970693,0.01051308,0.0002299588,0.001625475,0.01681753,0.0006756752,0.8578381,0.004935856,0.0004772603],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4752706,0.0001013219,0.5231869,0.0007331783,0.00009663948,0.00004238583,0.0000104825,0.00001346061,0.0005450278],"genre_scores_gemma":[0.9790222,0.0000205204,0.02009999,0.000149422,0.0002543682,0.000001423102,0.00001179627,0.00001073488,0.0004295659],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5037516,"threshold_uncertainty_score":0.4483034,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04729177906560009,"score_gpt":0.3254059776661983,"score_spread":0.2781141986005982,"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."}}