{"id":"W2952008053","doi":"10.48550/arxiv.math/0111154","title":"On dimensionally restricted maps","year":2001,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Nipissing University","funders":"","keywords":"Generalization; Extensional definition; Dimension (graph theory); Mathematics; Pure mathematics; Combinatorics; Mathematical analysis; Geology; Seismology","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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000305218,0.0004661137,0.000696904,0.0001579765,0.00009824626,0.00005510233,0.0005094246,0.0005511818,0.0007677512],"category_scores_gemma":[0.001602353,0.0003902709,0.0002904948,0.0001693323,0.00006607977,0.00003528504,0.0006778972,0.0010659,0.0008593224],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001021892,"about_ca_system_score_gemma":0.00009349184,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002212768,"about_ca_topic_score_gemma":0.000009828418,"domain_scores_codex":[0.9975713,0.00009411393,0.0007130124,0.0006372536,0.0005532147,0.0004311311],"domain_scores_gemma":[0.996749,0.001225829,0.0004037312,0.001270444,0.000157201,0.0001938249],"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":[0.0001192428,0.002000486,0.009764588,0.001300984,0.0004550006,0.000460278,0.0002937739,0.0001629407,0.0005543242,0.9291861,0.05498815,0.0007141407],"study_design_scores_gemma":[0.000330622,0.00007360292,0.00829144,0.000626841,0.000101548,0.00001172525,0.00001351692,0.001855274,0.00005751079,0.9862647,0.001858767,0.0005144624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9506962,0.00004953553,0.002460885,0.0007993149,0.0005319328,0.0005982021,0.00008771219,0.0002542573,0.04452194],"genre_scores_gemma":[0.9755358,0.0001420861,0.009107299,0.0007259204,0.0003507956,0.0001093071,0.0002315468,0.0001640938,0.01363321],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0570786,"threshold_uncertainty_score":0.9999186,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09128522509832673,"score_gpt":0.3260601503067364,"score_spread":0.2347749252084097,"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."}}