{"id":"W2233823939","doi":"10.1016/j.topol.2017.02.027","title":"Uniform powers of compacta and the proximal game","year":2017,"lang":"en","type":"preprint","venue":"Topology and its Applications","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Countable set; Mathematics; Paracompact space; Tychonoff space; Product topology; Topology (electrical circuits); General topology; Second-countable space; Power (physics); Pure mathematics; Space (punctuation); Compact space; Regular space; Discrete mathematics; Topological space; Combinatorics; Hausdorff space; Computer science; Physics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003911922,0.0001602369,0.0004243414,0.00004479962,0.0003112421,0.00001051151,0.0003292446,0.0003293093,0.00005686648],"category_scores_gemma":[0.0002155586,0.0001103255,0.00005262855,0.00001990144,0.002240751,0.00003398147,0.0004186615,0.000483765,0.000004574468],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008201666,"about_ca_system_score_gemma":0.00004948297,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001287483,"about_ca_topic_score_gemma":0.00001784608,"domain_scores_codex":[0.9992055,0.00008828945,0.0002543237,0.0002498208,0.00004897016,0.0001531398],"domain_scores_gemma":[0.9981115,0.0007498195,0.0003845392,0.0006428718,0.00006692839,0.00004429914],"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":[0.00007685716,0.00003822288,0.00005063806,0.0001234428,0.00007484181,3.799046e-7,0.0007653779,0.000001763947,0.00002340185,0.9978858,0.0001097679,0.0008494942],"study_design_scores_gemma":[0.0005623176,0.00002018414,0.0002757885,0.00002082967,0.0001204384,0.00002845242,0.0002526125,0.0001666409,0.0001645216,0.9943844,0.003894783,0.000109045],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6939009,0.01961175,0.07776164,0.04212483,0.0007116632,0.00984714,0.000715806,0.0003371536,0.1549891],"genre_scores_gemma":[0.9956408,0.0009400568,0.001509615,0.000104142,0.00006431615,0.0002637607,0.00001876858,0.00001266283,0.001445835],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3017399,"threshold_uncertainty_score":0.8256142,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04031739931788082,"score_gpt":0.3540604636338191,"score_spread":0.3137430643159383,"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."}}