{"id":"W2316040467","doi":"10.70930/tac/bz4xddlq","title":"Descent in monoidal categories","year":2012,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Shota Rustaveli National Science Foundation; Volkswagen Foundation; National Science Foundation","keywords":"Cartesian closed category; Closed monoidal category; Symmetric monoidal category; Enriched category; Mathematics; Topos theory; Morphism; Functor; Monoidal category; Higher category theory; Pure mathematics; Descent (aeronautics); Abelian category; Abelian group; 2-category; Monomorphism; Concrete category; Injective function","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.001145745,0.0003034912,0.0003565206,0.001315985,0.001649342,0.001495338,0.0005818132,0.0006744714,0.002344477],"category_scores_gemma":[0.001446994,0.0002665584,0.0004704222,0.0007422529,0.002760441,0.003807971,0.00254553,0.00108091,0.0004353769],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009286281,"about_ca_system_score_gemma":0.0003694751,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008749745,"about_ca_topic_score_gemma":0.0007810032,"domain_scores_codex":[0.9992236,0.0002326339,0.00005540721,0.0001582278,0.000214055,0.000116158],"domain_scores_gemma":[0.9992662,0.0002361126,0.00004841277,0.0001067059,0.0001944674,0.0001480665],"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":[0.000009238879,0.00001196355,0.0005093308,0.00003566111,0.000003747611,0.0001715443,0.0006336383,0.000234327,0.0009646124,0.9931974,0.0003621449,0.003866369],"study_design_scores_gemma":[0.000007695265,0.00003950584,0.0007545644,0.00002542111,0.000008492048,0.0003633488,0.0003683945,0.002591844,0.001541653,0.9786811,0.01560771,0.00001024382],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4793501,0.004798668,0.4027431,0.001617982,0.0005754721,0.0001070043,0.0003456185,0.0003557636,0.1101062],"genre_scores_gemma":[0.9567744,0.0009098196,0.02982373,0.0002758398,0.0001865036,0.00006042644,0.0001700598,0.00002708751,0.01177227],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002344477,"threshold_uncertainty_score":0.007843077,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01869106258318081,"score_gpt":0.2938306009220147,"score_spread":0.2751395383388339,"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."}}