{"id":"W2797655821","doi":"10.1007/s40062-018-0204-8","title":"A simplicial foundation for differential and sector forms in tangent categories","year":2018,"lang":"en","type":"article","venue":"Journal of Homotopy and Related Structures","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"Mount Allison University","funders":"","keywords":"Mathematics; Tangent bundle; Tangent cone; Differential (mechanical device); Differential geometry; Homotopy; Tangent; Pure mathematics; Tangent vector; Differential algebraic geometry; Differential form; Manifold (fluid mechanics); Tangent space; Algebraic geometry; Algebra over a field; Mathematical analysis; Geometry; Differential equation; Ordinary differential equation","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":[0.000214371,0.0001318733,0.0003226557,0.0001575241,0.0001516783,0.00002969769,0.00008522341,0.000254341,0.0001470713],"category_scores_gemma":[0.0002028134,0.000089399,0.00006160309,0.00007129792,0.0003150943,0.0001078811,0.0000311404,0.0002529203,3.851794e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002326109,"about_ca_system_score_gemma":0.00004206922,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000848102,"about_ca_topic_score_gemma":0.0001019403,"domain_scores_codex":[0.9990674,0.00005917648,0.0004645301,0.0001244176,0.00009480285,0.0001896196],"domain_scores_gemma":[0.9992636,0.0002052994,0.0002944646,0.00007667522,0.00009818655,0.00006179768],"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":[0.001636258,0.0001517214,0.007925374,0.0002177305,0.0005628737,0.00008374308,0.01179142,0.000001658144,0.00976287,0.9369549,0.0005985701,0.03031294],"study_design_scores_gemma":[0.001650764,0.0009246786,0.01604667,0.00002510054,0.00009257597,0.0008737214,0.000285759,0.00006900596,0.002446609,0.9770005,0.0004686248,0.0001160316],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9969907,0.0002175224,0.001269092,0.0003753059,0.000705121,0.0002147146,0.000004020323,0.000009205469,0.0002143655],"genre_scores_gemma":[0.9983813,0.00007513338,0.00108994,0.00003783121,0.0003238389,0.000004583379,0.000002181633,0.00001157422,0.00007364723],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04004561,"threshold_uncertainty_score":0.3645585,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01786011193485627,"score_gpt":0.304929279358915,"score_spread":0.2870691674240587,"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."}}