{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002947433,0.0009748288,0.001720879,0.002284938,0.004915539,0.008029927,0.002110026,0.004018392,0.01353636],"category_scores_gemma":[0.005635711,0.0004642413,0.0008088686,0.002870752,0.01604871,0.02309174,0.00694896,0.008596565,0.001891634],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002676607,"about_ca_system_score_gemma":0.001252784,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001583542,"about_ca_topic_score_gemma":0.001793421,"domain_scores_codex":[0.996823,0.001778179,0.0001532529,0.0007458627,0.0003284579,0.0001712794],"domain_scores_gemma":[0.9965681,0.001148759,0.0003874151,0.0006683785,0.0005509129,0.0006764545],"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":[0.000005421547,0.000004012915,0.00007290332,0.00001804821,0.000003109294,0.00001616554,0.0001443336,0.00002512503,0.00004193426,0.9957731,0.001383809,0.002512017],"study_design_scores_gemma":[0.000008114743,0.00001583478,0.0001413568,0.00003772398,0.000009750255,0.0001276838,0.0005226975,0.0002700593,0.00009575643,0.9834328,0.01532352,0.00001477554],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05769969,0.03630656,0.5457892,0.1346219,0.004234578,0.00007845882,0.001121334,0.0007627941,0.2193855],"genre_scores_gemma":[0.8686956,0.008659461,0.08252408,0.008387684,0.004098617,0.0002765037,0.0004206632,0.0002906333,0.02664662],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01353636,"threshold_uncertainty_score":0.04528368,"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."}}