{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001084582,0.0005801838,0.0005645641,0.003042885,0.001324544,0.002228485,0.0006341052,0.001252977,0.002400375],"category_scores_gemma":[0.003187293,0.000378497,0.0003801071,0.001419438,0.004346591,0.005090406,0.002196335,0.002034902,0.0002019821],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001404658,"about_ca_system_score_gemma":0.0006766804,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00148131,"about_ca_topic_score_gemma":0.001116287,"domain_scores_codex":[0.9996792,0.0001538509,0.00001384363,0.00005947252,0.00006633942,0.00002730727],"domain_scores_gemma":[0.9986046,0.0006892657,0.0001873501,0.0001064956,0.0001754679,0.0002367876],"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":[0.000003227512,0.00000284441,0.00008040759,0.00000987663,0.000001498198,0.000009019675,0.0000731439,0.0005651104,0.0001159697,0.9977196,0.0002560917,0.001163144],"study_design_scores_gemma":[0.000002317043,0.000003385222,0.0001878599,0.000005395041,0.000001329052,0.00001964392,0.00004349077,0.002053514,0.00005464404,0.9957834,0.001841236,0.00000378686],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6345716,0.0260804,0.1991459,0.01740632,0.000741979,0.00005203952,0.0005292833,0.000187149,0.1212854],"genre_scores_gemma":[0.9598571,0.005763397,0.01861199,0.0004315611,0.001001528,0.00004131365,0.0001580045,0.0000492742,0.01408578],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003042885,"threshold_uncertainty_score":0.01019156,"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."}}