{"id":"W2169654570","doi":"10.70930/tac/ns5uvdi5","title":"Exponentiability of Perfect Maps: Four Approaches","year":2002,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Hausdorff space; Morphism; Mathematical proof; Pure mathematics; Pullback; Discrete mathematics; Topological space; Algebra over a field","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006316857,0.001748454,0.001136817,0.004690904,0.002340307,0.007768313,0.002971976,0.002629082,0.01003742],"category_scores_gemma":[0.01657754,0.001059044,0.001698076,0.002638478,0.01367412,0.01916519,0.01280716,0.007241421,0.001938271],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003121716,"about_ca_system_score_gemma":0.001373971,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004344969,"about_ca_topic_score_gemma":0.000421688,"domain_scores_codex":[0.9966054,0.0008715027,0.0002625925,0.0004723579,0.001467472,0.0003206636],"domain_scores_gemma":[0.9896598,0.005876253,0.0006571965,0.001803157,0.001474329,0.0005292043],"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":[0.00002723132,0.00002118376,0.0002062366,0.000213431,0.00001385507,0.000185285,0.0004004355,0.0003720892,0.0004066493,0.9800732,0.00194923,0.0161312],"study_design_scores_gemma":[0.00002381747,0.00005491369,0.0002431204,0.0001989016,0.00002429568,0.000465111,0.0003579542,0.001932227,0.001710547,0.9665397,0.02840405,0.00004528067],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03531899,0.02916439,0.6877756,0.01596666,0.002679676,0.0002257831,0.000244009,0.0007502632,0.2278747],"genre_scores_gemma":[0.7049021,0.03092515,0.2062529,0.003384086,0.0042251,0.000378194,0.0003395911,0.0004525586,0.04914036],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01003742,"threshold_uncertainty_score":0.03357852,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.061944684626551,"score_gpt":0.2800345687402928,"score_spread":0.2180898841137417,"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."}}