{"id":"W2000844811","doi":"10.1016/j.topol.2011.06.068","title":"Subgroups of isometries of Urysohn–Katětov metric spaces of uncountable density","year":2012,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; University of Ottawa","keywords":"Mathematics; Uncountable set; Metric space; Uniform continuity; Group (periodic table); Isometry (Riemannian geometry); Isometry group; Bounded function; Urysohn and completely Hausdorff spaces; Combinatorics; Metric (unit); Pure mathematics; Discrete mathematics; Topology (electrical circuits); Mathematical analysis; Countable set","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":[0.0008452269,0.001009764,0.001797454,0.003210442,0.002249686,0.003671518,0.001361154,0.001152685,0.005051591],"category_scores_gemma":[0.003081148,0.000705876,0.001301726,0.001656255,0.003319724,0.005727922,0.004063867,0.002153586,0.000438417],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001273636,"about_ca_system_score_gemma":0.0006162009,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009455965,"about_ca_topic_score_gemma":0.0005569793,"domain_scores_codex":[0.9991276,0.0001949313,0.00007316691,0.0002021263,0.0002156819,0.0001865046],"domain_scores_gemma":[0.9986627,0.0004874436,0.000230789,0.0001486854,0.0001662753,0.0003039859],"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":[0.00004672033,0.00001581491,0.0003920713,0.00002185853,0.00001316752,0.00008335489,0.0005669657,0.0003684027,0.0006872517,0.9958919,0.0002244762,0.001688024],"study_design_scores_gemma":[0.00003672664,0.00004551838,0.0008847858,0.00001354772,0.00002336296,0.0002309624,0.0005609342,0.004594597,0.0007878335,0.9903474,0.002454396,0.00001984953],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8846432,0.00139803,0.07672503,0.001441685,0.0001918053,0.00007105026,0.0003555907,0.0001832717,0.03499031],"genre_scores_gemma":[0.9837239,0.0004926336,0.005823384,0.0001909947,0.0002368244,0.0001188928,0.0003993614,0.00007516076,0.008938943],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005051591,"threshold_uncertainty_score":0.01689923,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03096574497274178,"score_gpt":0.3233825330924865,"score_spread":0.2924167881197447,"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."}}