{"id":"W2123032618","doi":"10.70930/tac/kjpihwvv","title":"Action groupoid in protomodular categories","year":2006,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Property (philosophy); Affine transformation; Object (grammar); Enriched category; Pure mathematics; Category of sets; Abelian group; Set (abstract data type); Action (physics); Representation (politics); Concrete category; Characterization (materials science); Algebra over a field; Discrete mathematics; Computer science; Functor; Artificial intelligence; Epistemology","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":[0.0003386576,0.0002698309,0.0001915979,0.0008382933,0.0009060415,0.001261207,0.0003948876,0.0004019827,0.004041846],"category_scores_gemma":[0.0004519863,0.0001126746,0.000316471,0.0005390967,0.002042068,0.002066528,0.001561345,0.000625909,0.0004389844],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004631862,"about_ca_system_score_gemma":0.0002509053,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005540024,"about_ca_topic_score_gemma":0.0005835498,"domain_scores_codex":[0.9996479,0.00007529577,0.00001920589,0.00006754285,0.0001240521,0.00006600327],"domain_scores_gemma":[0.9997155,0.00007784468,0.00002991088,0.00005235793,0.00006656955,0.00005773572],"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":[0.00002149058,0.000005552573,0.0003407121,0.00004281305,0.00000305461,0.0002369556,0.0005922682,0.0002467577,0.003066912,0.9895008,0.0004111352,0.005531543],"study_design_scores_gemma":[0.00001462779,0.00007022479,0.001641793,0.00002670361,0.00001051729,0.001114677,0.0008949973,0.002456744,0.004843018,0.9404621,0.04844725,0.0000173353],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6750352,0.002256951,0.1725984,0.0008165996,0.0001781186,0.00009737549,0.0005371544,0.0004643673,0.148016],"genre_scores_gemma":[0.9677629,0.0004075834,0.02146437,0.0001034749,0.00004662848,0.00005171718,0.000248864,0.00003018536,0.009884184],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004041846,"threshold_uncertainty_score":0.01352131,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0152626629765416,"score_gpt":0.2910372528619539,"score_spread":0.2757745898854123,"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."}}