{"id":"W2506894868","doi":"10.1090/chel/346/13","title":"Dehn’s lemma and the loop theorem","year":2003,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Lemma (botany); Loop (graph theory); Mathematics; Pure mathematics; Combinatorics; Biology","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":[0.0004529762,0.0005347186,0.0004345884,0.001433177,0.0009138088,0.001585996,0.0006157682,0.0006715239,0.01123968],"category_scores_gemma":[0.001356301,0.0002628275,0.0004209418,0.00131135,0.002430889,0.003487436,0.001051235,0.002594324,0.002388111],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001516157,"about_ca_system_score_gemma":0.0005207384,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001812939,"about_ca_topic_score_gemma":0.001470838,"domain_scores_codex":[0.9997923,0.00005001719,0.000009294993,0.00005131903,0.00007131719,0.00002580237],"domain_scores_gemma":[0.9997091,0.000153085,0.00002006566,0.000036234,0.00006419418,0.00001736781],"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":[0.00001178296,0.000009416722,0.00004461355,0.00004618266,0.00000391471,0.00003117273,0.00009611534,0.0001863159,0.0002836528,0.9681121,0.0150045,0.01617018],"study_design_scores_gemma":[0.000007718571,0.00000771142,0.0001675606,0.00002188916,0.00000517744,0.00009876822,0.00003416146,0.0004244464,0.0003672624,0.8780928,0.1207653,0.000007190617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.01041669,0.01779972,0.05583293,0.006104309,0.001634901,0.00002556851,0.0002756248,0.0001523686,0.9077579],"genre_scores_gemma":[0.3968717,0.02816509,0.04401663,0.005528148,0.003473516,0.0001859405,0.0005849081,0.0003918689,0.5207821],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.01123968,"threshold_uncertainty_score":0.03760046,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03017742459253106,"score_gpt":0.2764631041002713,"score_spread":0.2462856795077402,"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."}}