{"id":"W1990343943","doi":"10.1017/s0305004111000570","title":"Commuting elements, simplicial spaces and filtrations of classifying spaces","year":2011,"lang":"en","type":"preprint","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Defense Advanced Research Projects Agency; National Science Foundation","keywords":"Classifying space; Mathematics; Homotopy; Homomorphism; Homotopy group; Cohomology; Space (punctuation); Pure mathematics; Group (periodic table); Commutative property; Combinatorics; Discrete mathematics; Computer science; Physics","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":[0.001512839,0.0004452933,0.0005673168,0.002869725,0.001929147,0.002913278,0.0006080724,0.0006342754,0.002385037],"category_scores_gemma":[0.002328163,0.0002559025,0.0006565496,0.001161817,0.003511046,0.003870251,0.002452753,0.001026169,0.000228957],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001349909,"about_ca_system_score_gemma":0.0004276347,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008055346,"about_ca_topic_score_gemma":0.000641018,"domain_scores_codex":[0.999091,0.0002277591,0.00007733388,0.0001850249,0.0002315584,0.0001873849],"domain_scores_gemma":[0.998341,0.0004816208,0.0002516753,0.0002029991,0.0001853784,0.0005372884],"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":[0.00002567085,0.00002469156,0.001532077,0.00002278766,0.000009027968,0.000119802,0.0006230614,0.0006573724,0.00202725,0.9903213,0.0002275262,0.004409364],"study_design_scores_gemma":[0.00001361693,0.00004634245,0.001823847,0.00002264084,0.00001030623,0.0003277819,0.0004616818,0.006570132,0.003397889,0.9830207,0.0042852,0.00001997561],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.914891,0.0007048183,0.06997771,0.0004002332,0.000086493,0.00002906817,0.0001085577,0.0001303556,0.01367177],"genre_scores_gemma":[0.9877803,0.0001892984,0.009322915,0.00004113535,0.00006910129,0.00002737695,0.0001289306,0.00001707661,0.00242386],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002913278,"threshold_uncertainty_score":0.009794354,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07512414483204959,"score_gpt":0.3127888008043935,"score_spread":0.2376646559723439,"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."}}