{"id":"W2048613806","doi":"10.1007/s11856-012-0101-5","title":"Ramsey property, ultrametric spaces, finite posets, and universal minimal flows","year":2012,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Ultrametric space; Mathematics; Class (philosophy); Property (philosophy); Finite set; Ramsey theory; Discrete mathematics; Combinatorics; Set (abstract data type); Pure mathematics; Metric space; Mathematical analysis; Computer science","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":[0.001680743,0.0004912257,0.0008131756,0.001796884,0.002434734,0.002817867,0.0008941823,0.000965911,0.004080405],"category_scores_gemma":[0.004089039,0.0004538755,0.0009591605,0.001242781,0.00422003,0.00927121,0.003272186,0.002310516,0.0001929208],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009826396,"about_ca_system_score_gemma":0.0006088197,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007951421,"about_ca_topic_score_gemma":0.0007649959,"domain_scores_codex":[0.9992544,0.0002062244,0.0000549338,0.0002204325,0.0001573627,0.0001065899],"domain_scores_gemma":[0.9967122,0.00188354,0.0004089735,0.000290993,0.0002728454,0.0004315446],"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":[0.00003522113,0.00002805717,0.0004884094,0.00003446986,0.00001041318,0.00005171644,0.000250119,0.0004648568,0.0003988723,0.9944194,0.0003832592,0.003435161],"study_design_scores_gemma":[0.00001146866,0.00001974059,0.0003423528,0.00001299663,0.00001313943,0.0001064838,0.0001776907,0.001972405,0.0002920419,0.9957333,0.001309406,0.000009062254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7669175,0.004350519,0.1525712,0.004681125,0.0002344684,0.00004888781,0.0004159585,0.0002329519,0.07054736],"genre_scores_gemma":[0.9830004,0.0009492841,0.01036276,0.0002488745,0.0002387573,0.0000524819,0.0002511685,0.00002475342,0.004871474],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004080405,"threshold_uncertainty_score":0.01365036,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03975728782889753,"score_gpt":0.2952305742010031,"score_spread":0.2554732863721055,"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."}}