{"id":"W1858807539","doi":"10.70930/tac/j7mneme5","title":"Site characterizations for geometric invariants of toposes","year":2012,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Topos theory; Mathematics; Invariant (physics); Property (philosophy); Pure mathematics; Set (abstract data type); Discrete mathematics; Computer science; Programming language","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":[0.0013815,0.0005843474,0.0008789444,0.003825854,0.001259785,0.003734061,0.001402591,0.001421867,0.008306386],"category_scores_gemma":[0.003301896,0.0003724148,0.0007803876,0.001863393,0.005584232,0.006305168,0.003189806,0.00210636,0.0006279782],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001255581,"about_ca_system_score_gemma":0.0002990681,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003912948,"about_ca_topic_score_gemma":0.0004946214,"domain_scores_codex":[0.9983175,0.0002513731,0.0001171011,0.000343017,0.0006274683,0.0003435778],"domain_scores_gemma":[0.9965407,0.001162399,0.0005818757,0.0006629524,0.0005500662,0.0005019484],"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":[0.00002430586,0.00002548277,0.001086897,0.00004274709,0.00000857905,0.0001274501,0.0003889189,0.001566534,0.00291468,0.9891521,0.0003085626,0.004353709],"study_design_scores_gemma":[0.00002343374,0.00008445849,0.00220597,0.00002610475,0.00002923766,0.0003295659,0.0007619943,0.01263947,0.006117179,0.9722135,0.005521311,0.00004771682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6963007,0.0004049189,0.2405878,0.0004991271,0.0001041453,0.0001127632,0.0004100484,0.0004658624,0.06111459],"genre_scores_gemma":[0.9855961,0.0001431571,0.009491405,0.00006719411,0.0001075921,0.00006955476,0.0002891605,0.0000893174,0.004146491],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008306386,"threshold_uncertainty_score":0.02778763,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02328982702189619,"score_gpt":0.2997262707881858,"score_spread":0.2764364437662896,"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."}}