{"id":"W4406725321","doi":"10.4153/s0008439525000062","title":"Zero-dimensional metrizable CDH space <i>X</i> such that $X^2$ is not CDH","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Metrization theorem; Zero (linguistics); Space (punctuation); Combinatorics; Mathematical analysis; Separable space","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"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":[0.0007670552,0.000373357,0.0006464976,0.0003635342,0.0003864164,0.00005173991,0.000466885,0.0003869495,0.02678378],"category_scores_gemma":[0.001492315,0.0003454783,0.0002023701,0.0003831751,0.0003617386,0.00005233006,0.0001143749,0.0005154269,0.0081207],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002495988,"about_ca_system_score_gemma":0.0003805893,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003345338,"about_ca_topic_score_gemma":0.0004333222,"domain_scores_codex":[0.9976273,0.000149753,0.0004754613,0.0005258391,0.0003179916,0.0009036799],"domain_scores_gemma":[0.9962883,0.00211511,0.000112749,0.0007765064,0.0001140413,0.00059328],"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":[0.00002497328,0.00006657312,0.00002613453,0.0001483343,0.00008255334,0.00006627457,0.0001460201,0.00000292687,0.00009313435,0.7098275,0.2892298,0.0002857595],"study_design_scores_gemma":[0.000447118,0.00002473531,0.00001209804,0.0001534849,0.00009736465,0.00003534296,0.0001398428,0.0001121465,0.004621543,0.7833124,0.2107394,0.0003045144],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.08214274,0.001070927,0.1045954,0.1600036,0.001252451,0.00214661,0.0003735046,0.0006463705,0.6477684],"genre_scores_gemma":[0.7002982,0.00001974007,0.04643552,0.02913372,0.0001163613,0.0001101173,0.00002454055,0.0001123047,0.2237495],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.6181555,"threshold_uncertainty_score":0.9998997,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02761864383883448,"score_gpt":0.2851800746417032,"score_spread":0.2575614308028687,"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."}}