{"id":"W2964194134","doi":"10.1017/is013006012jkt232","title":"Homotopy invariance of non-stable <i>K</i><sub>1</sub>-functors","year":2013,"lang":"en","type":"article","venue":"Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Functor; Mathematics; Rank (graph theory); Combinatorics; Field (mathematics); Homotopy; Algebraic group; Group (periodic table); Injective function; Algebraic number; Physics; Discrete mathematics; Pure mathematics; Mathematical analysis","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":[0.001009717,0.0004843082,0.0005095862,0.002160483,0.001310487,0.002607082,0.0006608136,0.0004992166,0.00353729],"category_scores_gemma":[0.001290109,0.0003089619,0.000816663,0.0006221416,0.003118449,0.003514931,0.002566373,0.0009733806,0.000658405],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001290351,"about_ca_system_score_gemma":0.0005871097,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007509342,"about_ca_topic_score_gemma":0.0004333854,"domain_scores_codex":[0.9990263,0.0001318899,0.00008761189,0.0002412563,0.0002190698,0.0002939377],"domain_scores_gemma":[0.9985827,0.000255515,0.0002879646,0.000226415,0.0003122328,0.0003351268],"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":[0.0001159155,0.00006382509,0.002043954,0.00005359405,0.0000263008,0.0004838491,0.000844293,0.0008834974,0.01260441,0.9715346,0.0006762855,0.01066957],"study_design_scores_gemma":[0.00005735017,0.0002518522,0.005756333,0.00003425999,0.0000438046,0.0009294051,0.0008462931,0.009086616,0.01865011,0.9553119,0.008966787,0.00006532988],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.921804,0.0003034927,0.04100937,0.0003550784,0.0001531671,0.00004554026,0.0001436612,0.000406942,0.03577869],"genre_scores_gemma":[0.992759,0.00009806549,0.002849894,0.00006289487,0.00004842613,0.00001926721,0.0001141037,0.00005414064,0.003994299],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00353729,"threshold_uncertainty_score":0.01183343,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01251332786029121,"score_gpt":0.2637290854900399,"score_spread":0.2512157576297487,"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."}}