{"id":"W1614323865","doi":"10.70930/tac/xvo4ev6r","title":"Generalized Brown representability in homotopy categories","year":2005,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":57,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Homotopy category; Homotopy; Cohomology; Functor; Pure mathematics; Model category; Adjoint functors; Functor category; Cofibration; Derived category; Eilenberg–MacLane space; Homotopy lifting property; Algebra over a field; n-connected","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":[0.0007080589,0.0003638519,0.0004004347,0.001394574,0.0007947876,0.002043842,0.0006424981,0.0005796208,0.003875049],"category_scores_gemma":[0.002126434,0.0001980533,0.0004995741,0.001102627,0.002369773,0.004564842,0.002283053,0.001018131,0.0003377174],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00119188,"about_ca_system_score_gemma":0.0003457028,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001462029,"about_ca_topic_score_gemma":0.00103222,"domain_scores_codex":[0.9992691,0.0001787732,0.00002848598,0.0001826572,0.0002128178,0.0001281951],"domain_scores_gemma":[0.9991091,0.000225096,0.0001165789,0.0002217474,0.000189563,0.0001378319],"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":[0.0000209502,0.00000765422,0.0004255444,0.00001350092,0.00000611954,0.00005212186,0.0002860912,0.001956219,0.001861524,0.9911484,0.0001884724,0.004033395],"study_design_scores_gemma":[0.000005895402,0.00004564483,0.0009160397,0.00001137952,0.00001157117,0.0001613077,0.0002689543,0.02015364,0.00203573,0.9720809,0.004292006,0.00001694459],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7362013,0.0005844743,0.231343,0.0004487397,0.00008034273,0.00001960555,0.0001526102,0.0003650284,0.03080481],"genre_scores_gemma":[0.9824568,0.0001557825,0.01086713,0.00006622235,0.00005083859,0.00001970423,0.0001040388,0.00004193638,0.006237568],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003875049,"threshold_uncertainty_score":0.01296329,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01725658145415159,"score_gpt":0.2931083196881329,"score_spread":0.2758517382339813,"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."}}