{"id":"W2949311190","doi":"10.48550/arxiv.1302.0507","title":"Group actions on spheres with rank one isotropy","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Rank (graph theory); Mathematics; Isotropy; Combinatorics; Group (periodic table); Homotopy; SPHERES; Pure mathematics; Physics; Quantum mechanics","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":[0.0003623522,0.0006896787,0.0004068045,0.001239359,0.001266793,0.002030614,0.0005006383,0.0005860343,0.003628058],"category_scores_gemma":[0.001060523,0.0002531221,0.0004727546,0.0005191477,0.002894545,0.002294261,0.002194946,0.0008353624,0.0003279708],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008587186,"about_ca_system_score_gemma":0.0003433373,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009935105,"about_ca_topic_score_gemma":0.0008396755,"domain_scores_codex":[0.9996351,0.00007448917,0.00002012325,0.0000679117,0.00009879492,0.0001035595],"domain_scores_gemma":[0.9994265,0.0001548866,0.00009752779,0.00008344381,0.000052044,0.0001856113],"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":[0.00006139196,0.0000191673,0.0008026854,0.00002595021,0.000008879958,0.0004101431,0.000894602,0.001656577,0.006518578,0.9860282,0.0004289115,0.003145051],"study_design_scores_gemma":[0.00006144325,0.0001080293,0.002151015,0.0000227445,0.00002053271,0.0005847552,0.001001464,0.01831958,0.01089797,0.9606857,0.006113274,0.00003351828],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9531074,0.0001521896,0.01821909,0.0003489115,0.00003627876,0.00002243278,0.00007549873,0.0001177887,0.0279204],"genre_scores_gemma":[0.9933798,0.00006645964,0.003132502,0.00002919818,0.00002056458,0.0000178791,0.00007266577,0.00001819512,0.003262767],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003628058,"threshold_uncertainty_score":0.012137,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1225563372561295,"score_gpt":0.2273262041693786,"score_spread":0.1047698669132491,"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."}}