{"id":"W3102723606","doi":"","title":"Hechler’s theorem for the null ideal","year":2003,"lang":"en","type":"article","venue":"","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Prince Edward Island","funders":"","keywords":"Mathematics; Countable set; Forcing (mathematics); Ideal (ethics); Extension (predicate logic); Discrete mathematics; Null (SQL); Pure mathematics; Combinatorics; Mathematical analysis","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":[],"consensus_categories":[],"category_scores_codex":[0.000527989,0.00007709218,0.00009910845,0.00001203031,0.0001756122,0.000005896021,0.000122336,0.00005995962,0.0008126216],"category_scores_gemma":[0.000723934,0.00004180923,0.00006729893,0.00003612829,0.0001138052,0.00003163588,0.00001196735,0.00008191956,0.00004551272],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008803322,"about_ca_system_score_gemma":0.00001543973,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.873046e-7,"about_ca_topic_score_gemma":0.00001085381,"domain_scores_codex":[0.9994984,0.00005866943,0.0001158211,0.0001021302,0.00004795225,0.0001770157],"domain_scores_gemma":[0.9973885,0.002272988,0.00003408854,0.0002540465,0.00002709937,0.00002327755],"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":[0.00001851759,0.00002024428,0.00001282235,0.000006056752,0.00001898411,5.543483e-7,0.0001443671,0.000003111148,0.00003605756,0.9928207,0.006001358,0.0009171981],"study_design_scores_gemma":[0.0002364027,0.00002276972,0.000005635739,0.000001764161,0.00001704568,0.00001078402,0.0005390602,0.00005292645,0.002404627,0.9366066,0.06004076,0.00006155991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.004037922,0.0002023665,0.7935526,0.0009241572,0.0003128185,0.0004215399,0.000003973065,0.0001169249,0.2004276],"genre_scores_gemma":[0.8837148,0.00002351236,0.07712007,0.001638934,0.0001045323,0.0000961765,0.000001318882,0.00003157774,0.03726908],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8796769,"threshold_uncertainty_score":0.8897637,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05161960804302426,"score_gpt":0.3448386145009235,"score_spread":0.2932190064578992,"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."}}