{"id":"W2963536692","doi":"10.2478/tatra.v64i0.374","title":"A generalized Goursat lemma","year":2015,"lang":"en","type":"article","venue":"Tatra Mountains Mathematical Publications","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Sylow theorems; Lemma (botany); Profinite group; Pure mathematics; Direct product; Product (mathematics); Locally finite group; Group (periodic table); Finite group; Abelian group; Geometry","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":[0.0007223478,0.0005033368,0.0005559243,0.001317547,0.001660123,0.002092608,0.0006996175,0.0006950374,0.009291072],"category_scores_gemma":[0.001378863,0.0002850525,0.001074974,0.001032377,0.003309848,0.005344924,0.002896592,0.001962424,0.002570383],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009726583,"about_ca_system_score_gemma":0.0004873257,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001462457,"about_ca_topic_score_gemma":0.001209506,"domain_scores_codex":[0.9989451,0.0002400184,0.00006025612,0.0003105575,0.0002852051,0.0001589267],"domain_scores_gemma":[0.9994631,0.0001397676,0.00004962543,0.0001589608,0.0001339484,0.00005455774],"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":[0.00001628757,0.000003766341,0.00009352893,0.00001995538,0.000005537097,0.0001000142,0.0002630173,0.000132766,0.001097309,0.991397,0.001785215,0.00508549],"study_design_scores_gemma":[0.00001277831,0.00003996339,0.000406404,0.00002428599,0.00002389753,0.0006018648,0.0002296442,0.001490148,0.00196157,0.9029695,0.09221715,0.00002285973],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1435583,0.003940233,0.2938868,0.00586148,0.001526418,0.0001651098,0.000797433,0.0008921395,0.5493721],"genre_scores_gemma":[0.835816,0.002246547,0.06166288,0.003186146,0.00130299,0.0002101217,0.0007616971,0.0003711453,0.09444243],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009291072,"threshold_uncertainty_score":0.0310818,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1509858034346688,"score_gpt":0.3649853765535787,"score_spread":0.2139995731189099,"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."}}