{"id":"W1987556478","doi":"10.1023/b:apcs.0000018144.87456.10","title":"One Setting for All: Metric, Topology, Uniformity, Approach Structure","year":2004,"lang":"en","type":"article","venue":"Applied Categorical Structures","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":85,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Monad (category theory); Functor; Generalization; Algebraic structure; Topological space; Metric space; Pure mathematics; Category of topological spaces; Algebraic number; Lattice (music); Discrete mathematics; Topology (electrical circuits); Set (abstract data type); Algebra over a field; Combinatorics; Computer science; Topological tensor product","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002774076,0.0004117262,0.0007280634,0.0001874854,0.00034006,0.00004217774,0.0006579583,0.000779498,0.0001823613],"category_scores_gemma":[0.0003171107,0.000357759,0.0001724459,0.0003911381,0.0003961194,0.00006035751,0.0001980575,0.0006649343,0.000009681906],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001917685,"about_ca_system_score_gemma":0.0001151556,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005263265,"about_ca_topic_score_gemma":0.00004107136,"domain_scores_codex":[0.9974972,0.0000604183,0.0005641237,0.000698693,0.0003010497,0.0008784946],"domain_scores_gemma":[0.9983464,0.0005816345,0.0002471469,0.0005466025,0.00007503901,0.000203157],"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":[0.00007392186,0.0001081788,0.00006474824,0.00009598195,0.0002229227,0.000005302311,0.0003918105,0.0001180126,0.001194914,0.9925752,0.0005413967,0.004607603],"study_design_scores_gemma":[0.001534014,0.0001304816,0.0006924801,6.875235e-7,0.0001736148,0.0001297374,0.0002768292,0.0000145244,0.008156603,0.9874846,0.001000761,0.0004056599],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.361861,0.0003171073,0.6068727,0.003841358,0.001054783,0.003049972,0.00007494408,0.0008624637,0.02206567],"genre_scores_gemma":[0.9257262,0.00000709137,0.07245254,0.0009778755,0.0004580239,0.0001464929,0.000113345,0.00005822735,0.00006024638],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5638651,"threshold_uncertainty_score":0.9998875,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0317298674077464,"score_gpt":0.3017891666117439,"score_spread":0.2700592992039975,"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."}}