{"id":"W2183773624","doi":"10.70930/tac/r4xuvzk8","title":"Points of Affine Categories and Additivity","year":2006,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Object (grammar); Class (philosophy); Affine transformation; Combinatorics; Commutative property; Category of sets; Additive function; Set (abstract data type); Derived category; Enriched category; Discrete mathematics; Pure mathematics; Computer science; Artificial intelligence","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":[0.001257264,0.0005351678,0.000677569,0.004188437,0.001837804,0.003691893,0.0008872291,0.0006586607,0.005555568],"category_scores_gemma":[0.002048751,0.0004526685,0.0009158232,0.001333351,0.005747453,0.005473574,0.006434645,0.002013735,0.0007658165],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001068265,"about_ca_system_score_gemma":0.0004359453,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009725981,"about_ca_topic_score_gemma":0.0005796996,"domain_scores_codex":[0.9985862,0.0003144266,0.000105692,0.0002705117,0.0004734953,0.00024968],"domain_scores_gemma":[0.9983625,0.0006873941,0.0001460557,0.000211648,0.0003589278,0.0002335266],"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":[0.00001242558,0.00000628402,0.0003444031,0.00003031062,0.000007452914,0.00006772757,0.0003471985,0.0002188738,0.0003836066,0.994325,0.0002462905,0.004010464],"study_design_scores_gemma":[0.00001310031,0.0000405061,0.001195809,0.00003764542,0.00002503236,0.0003120557,0.0004153632,0.001193235,0.001607939,0.9828283,0.0123113,0.00001984925],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5008273,0.006447931,0.1832671,0.002390609,0.0005141766,0.0001041672,0.0006945216,0.0005091841,0.305245],"genre_scores_gemma":[0.9740101,0.001349241,0.01079632,0.0002364127,0.0003977947,0.00007234845,0.0002700961,0.00003667703,0.0128311],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005555568,"threshold_uncertainty_score":0.01858521,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01003016950088281,"score_gpt":0.2658677680008318,"score_spread":0.255837598499949,"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."}}