{"id":"W4380884522","doi":"10.1016/j.topol.2023.108538","title":"Countably compact group topologies on arbitrarily large free Abelian groups","year":2023,"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":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; Technische Universiteit Delft; Fundação de Amparo à Pesquisa do Estado de São Paulo; York University","keywords":"Mathematics; Abelian group; Cardinality (data modeling); Topological group; Group (periodic table); Elementary abelian group; G-module; Free abelian group; Infinite group; Discrete mathematics; Topology (electrical circuits); Rank of an abelian group; Combinatorics; Pure mathematics","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":[0.002442914,0.001778039,0.002003224,0.004805489,0.003451691,0.007557516,0.002144977,0.002617396,0.006747508],"category_scores_gemma":[0.008601756,0.001172385,0.001072826,0.003863211,0.009218599,0.02354105,0.007562744,0.005240119,0.0005873529],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002185676,"about_ca_system_score_gemma":0.0004985207,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004252572,"about_ca_topic_score_gemma":0.000459912,"domain_scores_codex":[0.9981411,0.0006741471,0.0001113813,0.0003690483,0.0004608978,0.000243559],"domain_scores_gemma":[0.9867675,0.00944952,0.0009529947,0.0009179854,0.0005699974,0.00134198],"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":[0.00003867416,0.00001460677,0.0001199131,0.00002639653,0.000005318135,0.00006220416,0.0002690731,0.0004129689,0.0004466313,0.9973432,0.0002742682,0.0009867969],"study_design_scores_gemma":[0.00001645368,0.0000146314,0.0001393312,0.000009544105,0.000008404973,0.00007904305,0.0001633671,0.002219704,0.0003659854,0.9957373,0.001237097,0.000009107022],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7131252,0.005644142,0.1700774,0.007596145,0.0007357417,0.00007417916,0.0005333974,0.0005203553,0.1016934],"genre_scores_gemma":[0.9738797,0.001137641,0.0128662,0.0004233112,0.0005996966,0.0001316009,0.0002638659,0.00008012755,0.01061788],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007557516,"threshold_uncertainty_score":0.0225727,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04301180402328126,"score_gpt":0.3422964074841288,"score_spread":0.2992846034608475,"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."}}