{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001489451,0.0006724354,0.00114806,0.004125308,0.003914292,0.005808061,0.001374481,0.00218204,0.0135671],"category_scores_gemma":[0.003260613,0.0007618364,0.001204235,0.002253994,0.005692918,0.01063665,0.005483881,0.003382536,0.00123828],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001917255,"about_ca_system_score_gemma":0.0009882725,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001986503,"about_ca_topic_score_gemma":0.002562036,"domain_scores_codex":[0.999097,0.0001711525,0.00006497168,0.0001727032,0.0002760832,0.0002180204],"domain_scores_gemma":[0.9978412,0.0006284114,0.0001759965,0.0003047534,0.0005187646,0.0005308302],"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":[0.000005894394,0.000009251807,0.0001463608,0.000007334811,0.000002010921,0.00003307482,0.0002091304,0.0000897156,0.0001383236,0.9981849,0.0001819402,0.0009921042],"study_design_scores_gemma":[0.000007679206,0.000007404632,0.0001800512,0.000006474544,0.000003746689,0.00004147861,0.0001426726,0.001078207,0.0000852805,0.9970522,0.001388142,0.000006693683],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4921852,0.001343111,0.3195393,0.004216565,0.0006266222,0.0001153514,0.0008675198,0.0005299561,0.1805764],"genre_scores_gemma":[0.9644556,0.0004066876,0.01476128,0.0003004064,0.0003281413,0.00005006689,0.0004315523,0.0001181805,0.01914807],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0135671,"threshold_uncertainty_score":0.04538643,"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."}}