{"id":"W4377010135","doi":"10.48550/arxiv.2305.09639","title":"Ext groups in Homotopy Type Theory","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Group (periodic table); Sheaf; Interpretation (philosophy); Abelian group; Nilpotent; Homotopy; Homotopy category; Injective function; Resolution (logic); Algebra over a field","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001611953,0.0004729808,0.0004113615,0.00264258,0.001261026,0.002944404,0.0006710597,0.0009775124,0.006854543],"category_scores_gemma":[0.001463715,0.0002557751,0.0005547418,0.001435617,0.005231136,0.006458751,0.002531379,0.002815637,0.000882796],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001480742,"about_ca_system_score_gemma":0.0005132175,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007023314,"about_ca_topic_score_gemma":0.0003753615,"domain_scores_codex":[0.9993437,0.0001770934,0.00003279752,0.0001364356,0.0002193899,0.00009055764],"domain_scores_gemma":[0.9992507,0.0003160867,0.00007210742,0.0001228336,0.0001217669,0.0001165413],"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":[0.000003317042,0.000004764513,0.0001157062,0.00002016784,0.000002248901,0.00002502442,0.0002236693,0.0002712093,0.0002075384,0.995039,0.0005120915,0.003575212],"study_design_scores_gemma":[0.000003440578,0.000008067078,0.0001979605,0.000009752047,0.000002524874,0.00003709727,0.00008200373,0.001093988,0.0001846537,0.9885091,0.009866668,0.000004825486],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2012645,0.01850537,0.3903955,0.009134157,0.001682564,0.0001762024,0.0009056507,0.0008676732,0.3770684],"genre_scores_gemma":[0.8903053,0.006061648,0.05799291,0.001201388,0.002352866,0.0001584823,0.0005267863,0.0001940537,0.04120665],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006854543,"threshold_uncertainty_score":0.02293068,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1409874977554904,"score_gpt":0.2463498536458022,"score_spread":0.1053623558903118,"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."}}