{"id":"W50318231","doi":"10.1023/a:1011225712426","title":"Realcompactness and the Cozero Part of a Frame","year":2001,"lang":"en","type":"article","venue":"Applied Categorical Structures","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":66,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"University of Cape Town; Natural Sciences and Engineering Research Council of Canada; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; McMaster University","keywords":"Frame (networking); Mathematics; Basis (linear algebra); Reflection (computer programming); Pure mathematics; Filter (signal processing); Cauchy distribution; Computer science; Mathematical analysis; Geometry; Computer vision; Telecommunications","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001494717,0.0001545758,0.0003474544,0.00002521869,0.00009410711,0.00001921061,0.0002302504,0.0001027681,0.0001190737],"category_scores_gemma":[0.0001810119,0.00008983506,0.00004888481,0.0001294677,0.0004082413,0.00002565264,0.00009658341,0.0002393494,0.000002537987],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002038357,"about_ca_system_score_gemma":0.00001180066,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001697175,"about_ca_topic_score_gemma":0.000006428026,"domain_scores_codex":[0.9990147,0.00003550876,0.000290719,0.000200671,0.0002418867,0.0002164561],"domain_scores_gemma":[0.9985621,0.000809184,0.0001502197,0.0003800716,0.0000323502,0.00006608729],"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":[0.00009834312,0.00001416587,0.0001044409,0.00002195067,0.00002980691,0.000002236603,0.0002835149,0.000005562453,0.0001749207,0.9954851,0.0006014635,0.003178537],"study_design_scores_gemma":[0.0008651434,0.00001148634,0.0007374127,0.000001052255,0.00003431017,0.00002668174,0.0001312751,0.00001731413,0.0008284433,0.9933962,0.003844154,0.0001065612],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8097147,0.0005052117,0.1222514,0.001409137,0.0004017564,0.001134587,0.0000055775,0.0002187068,0.06435899],"genre_scores_gemma":[0.9969386,0.00006168405,0.002516174,0.000164112,0.0001552929,0.00002785245,0.000002180953,0.00001889191,0.0001152257],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1872239,"threshold_uncertainty_score":0.3663368,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03396681801987627,"score_gpt":0.3044421357360404,"score_spread":0.2704753177161641,"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."}}