{"id":"W2962837788","doi":"10.4153/cmb-2002-016-0","title":"The Topological Interpretation of the Core Group of a Surface in<i>S</i><sup>4</sup>","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Science Foundation","keywords":"Mathematics; Codimension; Group (periodic table); Interpretation (philosophy); Fundamental group; Invariant (physics); Surface (topology); Pure mathematics; Combinatorics; Generalization; Topology (electrical circuits); Geometry; Mathematical analysis; Mathematical physics; Physics; Quantum mechanics","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006367055,0.0001446822,0.0003617843,0.00008785416,0.00009775364,0.00001223468,0.0005151686,0.0001533817,0.005701474],"category_scores_gemma":[0.003781766,0.0000823368,0.000137321,0.0004374545,0.0005618269,0.00001347287,0.00007309059,0.0002612373,0.0002655699],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007512359,"about_ca_system_score_gemma":0.0000402124,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005731549,"about_ca_topic_score_gemma":0.001185399,"domain_scores_codex":[0.9984525,0.0001561529,0.0006098192,0.0001703851,0.0002304602,0.0003806997],"domain_scores_gemma":[0.9967647,0.002398494,0.0001760114,0.0004531919,0.00006275212,0.0001448876],"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":[0.00001348514,0.0001640155,0.00127801,0.0001709412,0.00003508727,0.00001064646,0.002399527,0.00005926247,0.00002572213,0.9785466,0.01606537,0.001231292],"study_design_scores_gemma":[0.0006922843,0.0001780293,0.001385025,0.0002509259,0.00005840417,0.00006147507,0.002980656,0.01383091,0.0001427484,0.9697961,0.01035387,0.0002695799],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9727619,0.0002730963,0.0005522837,0.008435469,0.00007069119,0.0004569808,0.000016482,0.00001583113,0.01741723],"genre_scores_gemma":[0.9967229,0.0000145967,0.001178941,0.0002424337,0.00001674993,0.0000119054,6.783905e-7,0.00001427297,0.001797487],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.023961,"threshold_uncertainty_score":0.9952074,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03203855121654016,"score_gpt":0.2470701675353514,"score_spread":0.2150316163188112,"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."}}