{"id":"W2051767482","doi":"10.1016/j.topol.2014.06.011","title":"Fundamental domains in the Einstein Universe","year":2014,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto; Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Einstein; Disjoint sets; Universe; Mathematics; Construct (python library); Bounded function; Pure mathematics; Conformal map; Theoretical physics; Space (punctuation); Simply connected space; Discrete mathematics; Physics; Mathematical physics; Mathematical analysis; Computer science; Astrophysics","routes":{"ca_aff":true,"ca_fund":true,"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":[],"consensus_categories":[],"category_scores_codex":[0.0002768594,0.00005320436,0.00009564275,0.00007221723,0.0001306776,0.0000101073,0.0001223366,0.00005688349,0.0001306297],"category_scores_gemma":[0.00003953602,0.00003607337,0.00002449563,0.0003132068,0.0000613665,0.00003161962,0.00003161302,0.00009900727,0.0000318024],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008005239,"about_ca_system_score_gemma":0.000005650784,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001248137,"about_ca_topic_score_gemma":0.0001136458,"domain_scores_codex":[0.9995699,0.00006383107,0.0001042088,0.0001116104,0.00005222468,0.00009823977],"domain_scores_gemma":[0.9994791,0.0002794592,0.0000385064,0.0001708683,0.00001097449,0.00002109875],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000001350951,0.00006218156,0.0002892514,0.000004271538,0.000007856442,2.677293e-7,0.0002807302,7.749529e-7,0.00004243178,0.9960604,0.0007080336,0.002542448],"study_design_scores_gemma":[0.0007666699,0.00008189942,0.007689867,0.00000523803,0.0001162143,0.00002697728,0.005138224,0.0007508451,0.00007048063,0.4868199,0.4983372,0.0001964757],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8833674,0.0003992755,0.02171344,0.005772239,0.00003539432,0.0005688376,0.000008661656,0.00004201671,0.08809271],"genre_scores_gemma":[0.9983084,0.00003699552,0.0004821275,0.0003586086,0.00004441361,0.00005364009,0.00000579251,0.000002963944,0.0007070383],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5092405,"threshold_uncertainty_score":0.147103,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02259617842486675,"score_gpt":0.288958358788556,"score_spread":0.2663621803636892,"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."}}