{"id":"W2039375426","doi":"10.1016/j.apal.2005.09.010","title":"The number of translates of a closed nowhere dense set required to cover a Polish group","year":2005,"lang":"en","type":"article","venue":"Annals of Pure and Applied Logic","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Separable space; Nowhere dense set; Cardinality (data modeling); Cover (algebra); Group (periodic table); Banach space; Locally compact space; Combinatorics; Compact space; Discrete mathematics; Space (punctuation); Locally compact group; Set (abstract data type); Pure mathematics; Computer science; Mathematical analysis","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":[0.002495656,0.0012028,0.002651019,0.001306798,0.002807796,0.00634171,0.002362185,0.003646456,0.01542812],"category_scores_gemma":[0.01666423,0.001543294,0.00181979,0.001149128,0.0047073,0.01570197,0.004068161,0.004342951,0.002009836],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001380401,"about_ca_system_score_gemma":0.0009333608,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004610227,"about_ca_topic_score_gemma":0.0004714669,"domain_scores_codex":[0.9974331,0.0005167634,0.000325103,0.0005550071,0.0007132708,0.0004567134],"domain_scores_gemma":[0.9754125,0.0171349,0.001683863,0.001468952,0.001299594,0.003000174],"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":[0.002637171,0.0003311307,0.00545394,0.0004151419,0.0001602989,0.001070779,0.001616792,0.007750541,0.0453031,0.9127812,0.003596399,0.01888347],"study_design_scores_gemma":[0.0003690966,0.0005891705,0.005652114,0.00007906481,0.0002104755,0.001777488,0.001525387,0.03988625,0.03306827,0.9099577,0.006753127,0.0001318755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8976281,0.0002955827,0.07101943,0.002349978,0.0003088185,0.00008880963,0.0007461364,0.0004355531,0.02712757],"genre_scores_gemma":[0.9614811,0.00027116,0.02771301,0.0002594887,0.0003962098,0.0001893186,0.001413651,0.0003032379,0.007972774],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01542812,"threshold_uncertainty_score":0.0516122,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06568592897368486,"score_gpt":0.3603924315277249,"score_spread":0.29470650255404,"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."}}