{"id":"W2022082217","doi":"10.4153/cmb-2006-024-4","title":"Approximation by Rational Mappings, via Homotopy Theory","year":2006,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Iterative Methods for Nonlinear Equations","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Homotopy; Cofibration; Pure mathematics; Homotopy category; Regular homotopy; Homotopy lifting property; Homotopy sphere; n-connected; Euclidean geometry; Euclidean space; Space (punctuation); Homotopy group; Algebra over a field; Discrete mathematics; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"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":[0.001138025,0.0007005162,0.0007138069,0.001926637,0.0006180695,0.002228508,0.000718181,0.0005525508,0.002364773],"category_scores_gemma":[0.005108603,0.0002696966,0.0006168916,0.0006729541,0.002387831,0.002811244,0.001904216,0.001301486,0.000371927],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001336262,"about_ca_system_score_gemma":0.0004319505,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001685133,"about_ca_topic_score_gemma":0.0008081571,"domain_scores_codex":[0.9993118,0.0002545876,0.00002680901,0.0001073006,0.0002286948,0.00007080425],"domain_scores_gemma":[0.9990615,0.0004247382,0.0001235282,0.0001238187,0.0001795039,0.00008691393],"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":[0.00005812284,0.00001971031,0.0005514339,0.0000444747,0.00002249807,0.00008519844,0.0002724811,0.02533481,0.003566405,0.9581943,0.0004710903,0.01137936],"study_design_scores_gemma":[0.00001967332,0.00007183728,0.0004384092,0.00002784237,0.00001796098,0.0001500299,0.0001828943,0.374128,0.002247762,0.6194682,0.003229227,0.00001812934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2849014,0.001276595,0.6866459,0.0008243219,0.0001886155,0.00005333916,0.00008535801,0.0003478927,0.02567662],"genre_scores_gemma":[0.9410387,0.0006883041,0.05025367,0.00007218909,0.00008874923,0.0000408642,0.00007180917,0.0000868303,0.007659039],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002364773,"threshold_uncertainty_score":0.009695292,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02444110404074269,"score_gpt":0.2809366373172202,"score_spread":0.2564955332764776,"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."}}