{"id":"W1985557375","doi":"10.1090/s0002-9939-2010-10424-0","title":"Continuous linear extension of functions","year":2010,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan; Nipissing University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bounded function; Mathematics; Extension (predicate logic); Bounded operator; Continuous function (set theory); Uniform continuity; Real-valued function; Metric space; Continuous linear operator; Space (punctuation); Compact space; Metric (unit); Topology (electrical circuits); Discrete mathematics; Pure mathematics; Mathematical analysis; Function (biology); Combinatorics; Computer science","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":[0.001676207,0.0008471842,0.0005808059,0.001305422,0.0008921849,0.002395241,0.0007866575,0.0006820822,0.006510938],"category_scores_gemma":[0.005320032,0.0004363113,0.001549841,0.000727482,0.002630166,0.005001601,0.002984132,0.002600644,0.002128166],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001764078,"about_ca_system_score_gemma":0.000806877,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001333566,"about_ca_topic_score_gemma":0.0009735228,"domain_scores_codex":[0.9974167,0.0005620931,0.0001706933,0.0009161275,0.0006132795,0.0003210407],"domain_scores_gemma":[0.9967007,0.001330966,0.000218501,0.0003841635,0.001048653,0.0003169741],"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":[0.000123687,0.00004960848,0.0005631677,0.0001573055,0.00002993571,0.000270705,0.0007546452,0.00276401,0.004637867,0.9512235,0.003649758,0.03577581],"study_design_scores_gemma":[0.00005496786,0.000300877,0.001511875,0.0001155587,0.00006697787,0.0008695428,0.0006042072,0.03849939,0.01329162,0.868182,0.07640228,0.0001007067],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1490079,0.001185259,0.7566605,0.001621843,0.0004134471,0.00008966526,0.0008623711,0.002155497,0.08800343],"genre_scores_gemma":[0.8128322,0.0008531996,0.1342658,0.0007561182,0.0004942756,0.0002083616,0.0009155486,0.0008097275,0.04886474],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006510938,"threshold_uncertainty_score":0.02178127,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01673604655750486,"score_gpt":0.2966225461560241,"score_spread":0.2798864995985192,"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."}}