{"id":"W2006971777","doi":"10.1016/j.aim.2010.04.023","title":"Locally compact abelian groups with symplectic self-duality","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"University of Waterloo","keywords":"Mathematics; Abelian group; Symplectic geometry; Pure mathematics; Duality (order theory); Symplectic group; Symplectomorphism; Locally compact space; Counterexample; Elementary abelian group; Discrete mathematics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007884325,0.0003272837,0.0005563832,0.0001253688,0.000151708,0.00002431983,0.0004079064,0.0001769188,0.0001964387],"category_scores_gemma":[0.0005807468,0.0002520499,0.00006670209,0.0003547689,0.0003644374,0.0004662983,0.00005148557,0.0007532754,0.00005990608],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005483184,"about_ca_system_score_gemma":0.00005978403,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002282497,"about_ca_topic_score_gemma":0.0005106467,"domain_scores_codex":[0.9981883,0.00009435682,0.0005623701,0.0003489711,0.0002964688,0.0005095811],"domain_scores_gemma":[0.9971102,0.001641712,0.0002946185,0.0007504743,0.00008753118,0.0001154303],"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":[0.00004584726,0.0007271123,0.002637185,0.0004954346,0.00004139676,0.00004551631,0.002333119,0.00007759179,0.0002220132,0.9923766,0.0000453818,0.0009528036],"study_design_scores_gemma":[0.0007541497,0.0001170439,0.0003380664,0.0001180049,0.00004720864,0.000156896,0.0007204288,0.0007711917,0.0005519888,0.9944828,0.001583156,0.0003591089],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8638347,0.0003830246,0.08704861,0.0003389205,0.0005875184,0.000942985,0.00001655697,0.0007172935,0.04613035],"genre_scores_gemma":[0.7712371,0.00009621794,0.2281223,0.0001122597,0.00008029056,0.00002834295,0.000004018485,0.00005998099,0.0002594557],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1410737,"threshold_uncertainty_score":0.9999931,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01473110518801872,"score_gpt":0.3256787633443108,"score_spread":0.3109476581562921,"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."}}