{"id":"W2008156469","doi":"10.4153/cmb-2005-057-x","title":"On Finite-to-One Maps","year":2005,"lang":"en","type":"preprint","venue":"Canadian Mathematical Bulletin","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Nipissing University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Surjective function; Metrization theorem; Combinatorics; Mathematics; Integer (computer science); Sigma; Discrete mathematics; Physics; Mathematical analysis; Computer science; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"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":["insufficient_payload"],"category_scores_codex":[0.0007037191,0.0005899912,0.0009503112,0.0004507203,0.0001973445,0.00006298522,0.0008370726,0.0009088011,0.04398741],"category_scores_gemma":[0.005931075,0.0005939181,0.0002581411,0.0001188091,0.000215532,0.00001295681,0.0003204225,0.001552532,0.05835382],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005036175,"about_ca_system_score_gemma":0.0003769507,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001202276,"about_ca_topic_score_gemma":0.001255198,"domain_scores_codex":[0.9969861,0.000194568,0.000711518,0.0007728697,0.0003527551,0.0009822106],"domain_scores_gemma":[0.9940951,0.002872982,0.0001732643,0.001401166,0.00009892961,0.001358546],"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":[0.00003052031,0.0001366632,7.383834e-7,0.0003168387,0.00007018048,0.00009385782,0.0003886799,0.0002303016,0.000002732721,0.8562487,0.1416927,0.0007879794],"study_design_scores_gemma":[0.0002148507,0.00006178228,0.000003016573,0.0005854432,0.00006822615,0.00001204028,0.00004606773,0.00006656461,0.00005044139,0.896196,0.1021329,0.000562646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.02827266,0.0002230754,0.09756065,0.06820162,0.001165867,0.003665864,0.001238018,0.000730068,0.7989421],"genre_scores_gemma":[0.5562671,0.00004700324,0.2573695,0.03834132,0.002424035,0.001167647,0.0003362895,0.0007324322,0.1433147],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.6556275,"threshold_uncertainty_score":0.9996512,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04180890035881324,"score_gpt":0.2975667294860949,"score_spread":0.2557578291272816,"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."}}