{"id":"W2317754099","doi":"10.4153/cmb-2003-026-2","title":"Reducing Spheres and Klein Bottles after Dehn Fillings","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Klein bottle; Mathematics; Torus; Boundary (topology); Manifold (fluid mechanics); SPHERES; Pure mathematics; Combinatorics; 3-manifold; Topology (electrical circuits); Mathematical analysis; Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003157477,0.0004191198,0.0005193308,0.0007601866,0.001427759,0.001442316,0.0004442641,0.001014746,0.002852004],"category_scores_gemma":[0.001223286,0.0003625476,0.0008027259,0.0003729934,0.001841387,0.00174291,0.002522499,0.001044157,0.0003898487],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008125722,"about_ca_system_score_gemma":0.0003626736,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001099857,"about_ca_topic_score_gemma":0.0009664237,"domain_scores_codex":[0.9996158,0.00005506741,0.00002007845,0.00005380285,0.000122025,0.0001332228],"domain_scores_gemma":[0.9997063,0.00006464197,0.00005865647,0.00005201793,0.00003862659,0.00007968505],"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":[0.0001991719,0.00004005835,0.0009527446,0.00005838981,0.00001798038,0.001044274,0.001494719,0.008094251,0.02016022,0.9551119,0.001195752,0.01163056],"study_design_scores_gemma":[0.00005283468,0.0001899213,0.001540054,0.00002991792,0.00002051251,0.001053376,0.0009439438,0.0157457,0.01844405,0.9446491,0.0172747,0.00005577193],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9538962,0.0003339986,0.01976649,0.0003878499,0.0001428841,0.0000363367,0.000066359,0.0002050276,0.02516476],"genre_scores_gemma":[0.9879467,0.0001269136,0.006834071,0.00008254365,0.00003281284,0.00001617038,0.00005665794,0.00004802704,0.004856026],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002852004,"threshold_uncertainty_score":0.009540856,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01802631153991503,"score_gpt":0.2380576174256722,"score_spread":0.2200313058857572,"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."}}