{"id":"W4317209731","doi":"10.4064/cm8968-12-2022","title":"A Tannaka–Krein extension theorem for topological semigroups","year":2023,"lang":"en","type":"article","venue":"Colloquium Mathematicum","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Windsor","funders":"","keywords":"Mathematics; Extension (predicate logic); Trigonometry; Pure mathematics; Trigonometric functions; Algebra over a field; Discrete 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002250679,0.0005257521,0.0009756905,0.0002081634,0.0003492767,0.0001173628,0.0007381397,0.0002906399,0.0005309623],"category_scores_gemma":[0.005000289,0.0004100067,0.0005186108,0.0009899967,0.0003101,0.0001978062,0.0002892484,0.0002888936,0.001164666],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001268613,"about_ca_system_score_gemma":0.00005351368,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001183914,"about_ca_topic_score_gemma":0.000001843357,"domain_scores_codex":[0.9965532,0.0001686663,0.0009301417,0.0006900388,0.0006413094,0.00101658],"domain_scores_gemma":[0.9924561,0.00553608,0.0003292621,0.001209615,0.0002246865,0.0002442888],"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":[0.00007279355,0.0003278053,0.000004200889,0.0007195195,0.00006989739,0.00002516332,0.00102791,0.000006156879,0.01036242,0.9540482,0.03314516,0.0001908224],"study_design_scores_gemma":[0.0007447572,0.0002216687,0.00002480119,0.0002289942,0.000120882,0.00003957815,0.001083753,0.006934139,0.008431727,0.9807056,0.0009471484,0.0005170181],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8242865,0.00006283493,0.1253675,0.002543679,0.0010049,0.004867304,0.00009914607,0.003869195,0.03789896],"genre_scores_gemma":[0.8693565,0.00002199776,0.112546,0.0005092602,0.0008063316,0.001467408,0.0000439466,0.0003363623,0.01491211],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04507005,"threshold_uncertainty_score":0.9998352,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1070830509471534,"score_gpt":0.3774509967295685,"score_spread":0.2703679457824151,"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."}}