{"id":"W4386898686","doi":"10.1016/j.topol.2023.108712","title":"Categorical extension of dualities: From Stone to de Vries and beyond, II","year":2023,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; Bulgarian National Science Fund","keywords":"Mathematics; Morphism; Hausdorff space; Categorical variable; Dual (grammatical number); Pure mathematics; Duality (order theory); Equivalence (formal languages); Extension (predicate logic); Concrete category; Closed category; Locally compact space; Category of groups; Algebra over a field; Discrete mathematics; Functor","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":[0.001355746,0.0004240608,0.000651828,0.002169752,0.001816821,0.004573098,0.0008917438,0.001182046,0.004748795],"category_scores_gemma":[0.002807521,0.0003284897,0.00078005,0.001584772,0.01077715,0.01246857,0.003513505,0.003230607,0.0004637383],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002194334,"about_ca_system_score_gemma":0.0008969252,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001377385,"about_ca_topic_score_gemma":0.001012565,"domain_scores_codex":[0.9992212,0.0003437473,0.00003580029,0.0001489221,0.0001545244,0.00009571403],"domain_scores_gemma":[0.9988199,0.0006413274,0.0001023365,0.0001541752,0.000169157,0.0001131192],"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":[0.000003109257,0.000002469741,0.00005686573,0.000008792174,0.000001052423,0.000007989235,0.0001796677,0.00003941522,0.00004058689,0.9981714,0.0003363368,0.001152325],"study_design_scores_gemma":[0.000002547943,0.000005191021,0.0001214938,0.00001339545,0.000001990563,0.00004033315,0.0002474882,0.0001921393,0.00006787238,0.9917554,0.007548543,0.000003580747],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1738564,0.05056622,0.1983022,0.03030312,0.001903278,0.00004563245,0.0004036619,0.0002384805,0.5443811],"genre_scores_gemma":[0.9481613,0.006231657,0.01155157,0.0008356452,0.001272405,0.00004832855,0.0001325569,0.00006402475,0.03170254],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004748795,"threshold_uncertainty_score":0.01592106,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03588719197202274,"score_gpt":0.3354980555895863,"score_spread":0.2996108636175636,"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."}}