{"id":"W2884440937","doi":"10.1007/s40062-025-00362-z","title":"Classification of homogeneous functors in manifold calculus","year":2025,"lang":"en","type":"article","venue":"Journal of Homotopy and Related Structures","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina; Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Mathematics; Functor; Bijection; Homotopy; Derived functor; Adjoint functors; Model category; Pure mathematics; Functor category; Weak equivalence; Homogeneous; Manifold (fluid mechanics); Combinatorics; Homotopy category","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":[0.0003840452,0.0001343407,0.0004426204,0.0003893119,0.0000562793,0.000008518702,0.0001827923,0.0003598581,0.0001071426],"category_scores_gemma":[0.0002958509,0.00009914635,0.0001108468,0.000259402,0.0001759959,0.00005583019,0.00003605795,0.000481202,5.056846e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003404763,"about_ca_system_score_gemma":0.00009344876,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001089648,"about_ca_topic_score_gemma":0.00002316232,"domain_scores_codex":[0.998595,0.000165118,0.0008170301,0.000128625,0.0001308257,0.0001634128],"domain_scores_gemma":[0.9989108,0.0003019384,0.000470557,0.0001680021,0.0001029955,0.00004571686],"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":[0.0003009502,0.0001681281,0.01977378,0.0001959043,0.0004451817,0.0003274286,0.001443309,0.00003095946,0.01095973,0.9576802,0.0008028371,0.007871649],"study_design_scores_gemma":[0.001347638,0.0002842382,0.1047562,0.0001353126,0.0001748087,0.001093959,0.0006004472,0.00008819317,0.005743031,0.8852748,0.000375771,0.0001255362],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9933403,0.001925407,0.0002354659,0.0005015805,0.0006472076,0.00012053,0.000002655751,0.000009392042,0.003217481],"genre_scores_gemma":[0.9985679,0.0002225749,0.0006562241,0.00003726816,0.00002956826,0.000001521076,8.253634e-7,0.000007687835,0.0004764115],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08498245,"threshold_uncertainty_score":0.4043071,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01409865650609541,"score_gpt":0.2968927551113161,"score_spread":0.2827940986052207,"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."}}