{"id":"W2950175318","doi":"10.48550/arxiv.math/0011180","title":"On the Topology of Fibrations with Section and Free Loop Spaces","year":2000,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Structural Analysis and Optimization","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Fibration; Section (typography); SPHERES; Topology (electrical circuits); Loop (graph theory); Fiber bundle; Mathematics; Spectral sequence; Fiber; Pure mathematics; Theoretical physics; Computer science; Physics; Materials science; Combinatorics; Homotopy; Composite material","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00002682525,0.000102719,0.0001337573,0.00005136377,0.00004750792,0.0000170653,0.00008034941,0.00009627869,0.0002489675],"category_scores_gemma":[0.00001338504,0.00006311267,0.0000303407,0.00008273183,0.0000438049,0.00003000915,0.00003293018,0.0001692571,0.00000235098],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001245592,"about_ca_system_score_gemma":0.000006910252,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000980927,"about_ca_topic_score_gemma":0.0001764125,"domain_scores_codex":[0.9996313,0.00001733013,0.0001088804,0.0001204085,0.00005734254,0.00006477954],"domain_scores_gemma":[0.9996369,0.00004508414,0.00004218889,0.0002380561,0.00002318761,0.00001455102],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"observational","study_design_scores_codex":[0.00001245726,0.00000508772,0.03111247,0.0000450006,0.0001506976,6.732309e-7,0.0002507046,0.9661335,0.0003954291,0.0008932597,0.0005987066,0.0004019732],"study_design_scores_gemma":[0.0006709634,0.0002831864,0.6841243,0.0003016319,0.0005248716,0.00001748949,0.0004308509,0.2873511,0.01613973,0.008668824,0.0006784557,0.0008086149],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9962103,0.0001388945,0.001236088,0.0004386083,0.0001243186,0.00008850227,0.000009319945,0.00004346749,0.001710487],"genre_scores_gemma":[0.9992231,0.0002279496,0.0002342114,0.00002828376,0.00008549156,0.000009337773,0.00002406353,0.00001048789,0.0001570437],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6787824,"threshold_uncertainty_score":0.272602,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01325541790193935,"score_gpt":0.1973581054969589,"score_spread":0.1841026875950195,"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."}}