{"id":"W1989160089","doi":"10.1017/s0305004106009492","title":"Quasicomponents in topos theory: the hyperpure, complete spread factorization","year":2007,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Topos theory; Morphism; Mathematics; Factorization; Social connectedness; Pure mathematics; Category theory; Uniqueness; Discrete mathematics; Algorithm; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"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":[0.001026535,0.0003511389,0.0004020239,0.001072803,0.0009894421,0.002152635,0.0003402963,0.0006667179,0.004340655],"category_scores_gemma":[0.0016649,0.0002723566,0.0005349552,0.0004400837,0.004730461,0.005459075,0.001760667,0.001209515,0.0007586856],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009268687,"about_ca_system_score_gemma":0.0004943591,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008876434,"about_ca_topic_score_gemma":0.0007743698,"domain_scores_codex":[0.9994993,0.00009648605,0.0000254319,0.0001429079,0.0001585775,0.00007730074],"domain_scores_gemma":[0.9992312,0.00019535,0.00007966275,0.000145397,0.0001783518,0.0001700461],"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":[0.00001133466,0.00000482807,0.0001658178,0.00001342287,0.000002459021,0.00007968463,0.000240725,0.0002451388,0.001431195,0.9947585,0.0002174363,0.002829427],"study_design_scores_gemma":[0.00001202922,0.00002877869,0.0003861905,0.00001517844,0.000006979954,0.0003093956,0.0002284445,0.003717544,0.001198785,0.9890916,0.004993028,0.0000119433],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4567997,0.001020668,0.4701896,0.001292155,0.0001883231,0.00008894515,0.0001828984,0.0004071839,0.06983055],"genre_scores_gemma":[0.9667879,0.0003305443,0.02337523,0.000153455,0.0001307363,0.00003337174,0.00007781972,0.00005491543,0.009055963],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004340655,"threshold_uncertainty_score":0.01452094,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04483302372387146,"score_gpt":0.2937925705622619,"score_spread":0.2489595468383904,"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."}}