{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005265872,0.0001289546,0.0002638981,0.00006063732,0.0001006989,0.00002068896,0.000189718,0.0000781473,0.00009943353],"category_scores_gemma":[0.0001114765,0.0001112611,0.00004633697,0.0001998224,0.000321963,0.0001303494,0.00007771169,0.00009602551,0.00000219713],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002028841,"about_ca_system_score_gemma":0.00003344026,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006271636,"about_ca_topic_score_gemma":0.00004199829,"domain_scores_codex":[0.9990439,0.0001116565,0.0003534528,0.0002229535,0.0001171259,0.0001508686],"domain_scores_gemma":[0.9988638,0.0004276575,0.0001148245,0.0004798174,0.00006899665,0.00004489196],"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":[0.00007810294,0.00007494717,0.000596236,0.00004548754,0.00001333798,1.065083e-7,0.001037641,0.000009190266,0.0002433652,0.9935055,0.00004931801,0.004346727],"study_design_scores_gemma":[0.000352932,0.00001519528,0.0005860707,0.000004043382,0.00002041328,0.000003038418,0.0006162432,0.00001012892,0.01406809,0.9819056,0.002304321,0.0001139266],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9884976,0.0006525407,0.007314305,0.0002311643,0.00004243787,0.0004609792,0.000007192901,0.00005478202,0.002739004],"genre_scores_gemma":[0.9977729,0.00006951224,0.001327881,0.00002670511,0.0001370044,0.0002275169,0.000006113107,0.00001234986,0.0004200366],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01382473,"threshold_uncertainty_score":0.4537095,"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."}}