{"id":"W2027866234","doi":"10.1016/s0001-8708(03)00010-0","title":"van Kampen theorems for toposes","year":2003,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"Macquarie University; McGill University","keywords":"Topos theory; Mathematics; Morphism; Bounded function; Pure mathematics; Base (topology); Context (archaeology); Algebra over a field; Discrete mathematics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001471017,0.001330968,0.001118552,0.005132044,0.002504895,0.004343567,0.001327422,0.001274864,0.01277509],"category_scores_gemma":[0.002541132,0.0006941027,0.001283378,0.003344475,0.004150623,0.009257056,0.003374522,0.004614657,0.001528596],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001776912,"about_ca_system_score_gemma":0.0005746147,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001729572,"about_ca_topic_score_gemma":0.001573372,"domain_scores_codex":[0.9992539,0.0001808042,0.00004157342,0.0001584192,0.0002380046,0.0001271944],"domain_scores_gemma":[0.9990471,0.0005285749,0.00006404036,0.0001196338,0.0001331196,0.0001074306],"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":[0.00001022865,0.000005278931,0.00003690833,0.00002800764,0.000007842634,0.00003235653,0.0001783282,0.0001911436,0.0002107254,0.9950152,0.001171597,0.003112269],"study_design_scores_gemma":[0.000006293492,0.00000336518,0.0000481847,0.000006954506,0.000005127505,0.00002711698,0.00004806395,0.0003892261,0.0001033977,0.9941329,0.00522519,0.000004159673],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1178861,0.01539579,0.2579462,0.008489467,0.001614974,0.0001115506,0.001050297,0.000792728,0.5967129],"genre_scores_gemma":[0.8328671,0.01137345,0.04755892,0.002089528,0.001992551,0.0003090562,0.00113697,0.0003669031,0.1023056],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01277509,"threshold_uncertainty_score":0.04273695,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02645889392582019,"score_gpt":0.3459341019401781,"score_spread":0.3194752080143579,"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."}}