{"id":"W2951922002","doi":"10.48550/arxiv.1201.4687","title":"Coarse structures on groups","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Metrization theorem; Group (periodic table); Mathematics; Subspace topology; Cartesian product; Topological group; Hausdorff space; Pure mathematics; Context (archaeology); Topology (electrical circuits); Dimension (graph theory); Zero-dimensional space; Discrete group; Topological space; Locally compact space; Free product; Hausdorff dimension; Topological vector space; Discrete mathematics; Combinatorics; Mathematical analysis; Physics; Separable space","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":[0.0006132807,0.0005604284,0.0004325181,0.002709409,0.0010648,0.002083145,0.0004167032,0.0006232731,0.00418137],"category_scores_gemma":[0.001779924,0.000172086,0.0004247321,0.001083691,0.003280525,0.004040099,0.002706662,0.001387368,0.0003725979],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001019653,"about_ca_system_score_gemma":0.0002495055,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006105716,"about_ca_topic_score_gemma":0.0005133589,"domain_scores_codex":[0.999456,0.0001416397,0.00002944108,0.0001143279,0.0001721511,0.00008646731],"domain_scores_gemma":[0.9990036,0.0002885096,0.0001616016,0.0001809301,0.0001461163,0.0002192491],"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":[0.000006327306,0.000007228512,0.0002732586,0.00001522966,0.000002971349,0.00005515973,0.0003559231,0.0006201852,0.0009490915,0.9956498,0.0002030513,0.001861858],"study_design_scores_gemma":[0.000005621049,0.00003833641,0.0009082279,0.00001627199,0.000006739999,0.0001785346,0.0003399073,0.006805574,0.0008175748,0.9808555,0.01001807,0.000009597667],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.6725613,0.002691107,0.2044069,0.001781255,0.0004227662,0.0001103899,0.0003633606,0.0002792834,0.1173837],"genre_scores_gemma":[0.9725735,0.0006096133,0.01834825,0.000195019,0.0003264403,0.00005293733,0.0001377909,0.00002970195,0.007726741],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.00418137,"threshold_uncertainty_score":0.01398802,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1961080589611997,"score_gpt":0.2697922701174936,"score_spread":0.0736842111562939,"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."}}