{"id":"W2770076743","doi":"10.1093/qmath/hax052","title":"Metric semigroups that determine locally compact groups","year":2017,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Locally compact group; Locally compact space; Semigroup; Bounded function; Pure mathematics; Compact space; Integrable system; Invariant (physics); Regular polygon; Uniform continuity; Discrete mathematics; Amenable group; Metric space; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007561946,0.0002996549,0.0003618763,0.0009929674,0.0008433283,0.001500956,0.0003706727,0.000598834,0.003454572],"category_scores_gemma":[0.002518437,0.0002776021,0.000483295,0.0003452197,0.001727917,0.002263374,0.001433424,0.0007342167,0.0004971192],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000759937,"about_ca_system_score_gemma":0.000341745,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000326541,"about_ca_topic_score_gemma":0.0003083507,"domain_scores_codex":[0.9994718,0.0001229711,0.00003315927,0.0001198815,0.0001633415,0.0000887975],"domain_scores_gemma":[0.9984901,0.0004525751,0.0002454076,0.0001467983,0.0002206884,0.0004444005],"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":[0.00004417794,0.00001995824,0.0007222713,0.00002514124,0.000008141635,0.0002705404,0.0009032292,0.0009408176,0.003833717,0.9877756,0.0006493338,0.004807044],"study_design_scores_gemma":[0.00002574802,0.00005608972,0.0009981205,0.00001226248,0.000006278286,0.0004167676,0.0004512744,0.007940526,0.0017848,0.9803489,0.007941863,0.00001744779],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8292065,0.001185343,0.1064616,0.001060467,0.0002569532,0.00009959002,0.0002945222,0.0002245526,0.06121041],"genre_scores_gemma":[0.9758998,0.0002060097,0.01341984,0.0001023779,0.0001138323,0.00006816698,0.0002010412,0.00003280215,0.00995615],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003454572,"threshold_uncertainty_score":0.01155668,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08924098677885885,"score_gpt":0.3703282527443189,"score_spread":0.2810872659654601,"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."}}