{"id":"W4413133158","doi":"10.4153/s0008439525100982","title":"No product of two nontrivial countable-dimensional continua maps lightly into any of the factors","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"3D Modeling in Geospatial Applications","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Countable set; Product (mathematics); Action (physics); Content (measure theory); Pure mathematics; Geometry; Mathematical analysis","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001810409,0.0001452798,0.0002794308,0.0000924423,0.0000687478,0.0000122467,0.0003250759,0.00006857055,0.001049786],"category_scores_gemma":[0.000313519,0.0001135571,0.00008189923,0.0002166811,0.0001252125,0.00001377915,0.00004223803,0.0001584112,0.000312406],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001299281,"about_ca_system_score_gemma":0.000232795,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004035881,"about_ca_topic_score_gemma":0.003697808,"domain_scores_codex":[0.9989777,0.00002108296,0.0004097916,0.0001571962,0.0001820095,0.0002521954],"domain_scores_gemma":[0.9989855,0.0001849855,0.000051666,0.0004543256,0.0001893321,0.0001341964],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00003555845,0.0004231066,0.007846442,0.003780008,0.0007013378,0.000007517383,0.002057046,0.03992056,0.03431475,0.4500524,0.459358,0.001503294],"study_design_scores_gemma":[0.003044706,0.0001176068,0.005724003,0.002916942,0.0005829929,0.00001291428,0.000202345,0.1107441,0.116118,0.2167165,0.5420012,0.00181867],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8863295,0.0004285216,0.01468877,0.005975043,0.001087778,0.00207492,0.0004047481,0.0002005246,0.08881014],"genre_scores_gemma":[0.9933661,0.000001632983,0.005177734,0.00009071929,0.00003917432,0.00003691209,0.00001049417,0.00002169512,0.001255527],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2333359,"threshold_uncertainty_score":0.9998634,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004844431347957176,"score_gpt":0.2019299833220197,"score_spread":0.1970855519740626,"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."}}