{"id":"W2595983772","doi":"10.1016/j.top.2006.02.002","title":"Some examples of free actions on products of spheres","year":2006,"lang":"en","type":"article","venue":"Topology","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"ACT-X","keywords":"Mathematics; SPHERES; Pure mathematics; 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":[0.00009632127,0.00008821727,0.0002974721,0.000164679,0.00002918952,0.000001159805,0.0001883152,0.0001015509,0.0007375156],"category_scores_gemma":[0.0007421324,0.00007554699,0.00004817285,0.0002316286,0.0003113831,0.00002691594,0.00005659595,0.00008479189,0.00001741804],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001107792,"about_ca_system_score_gemma":0.00003601192,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007327271,"about_ca_topic_score_gemma":0.0002314556,"domain_scores_codex":[0.9992169,0.00005615452,0.0002971507,0.0001541114,0.00009399158,0.0001817634],"domain_scores_gemma":[0.9987898,0.0005104241,0.0001859774,0.0004328621,0.00006348025,0.00001741368],"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":[0.00001577571,0.0002532084,0.001376507,0.00006087808,0.00002631738,0.000001902778,0.00005220939,0.000005334163,0.003876829,0.9746453,0.0192802,0.0004054979],"study_design_scores_gemma":[0.0003784229,0.0002674908,0.006831697,0.000007324705,0.00003333758,0.00001281108,0.0002284436,0.000001266392,0.06354483,0.9252322,0.003385904,0.00007621141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9867238,0.0003026731,0.0001782386,0.001210021,0.0003081733,0.0001222303,0.00001940981,0.00003804266,0.01109737],"genre_scores_gemma":[0.9925082,0.000008542052,0.004405604,0.00003419613,0.0002331938,0.000005962137,0.000003423954,0.00001061269,0.002790255],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.059668,"threshold_uncertainty_score":0.8075278,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06493849863914167,"score_gpt":0.3050520520686185,"score_spread":0.2401135534294768,"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."}}