{"id":"W4321011964","doi":"10.48550/arxiv.2302.06735","title":"Homogeneous spaces not separated by arcs","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Homogeneity (statistics); Homogeneous; Mathematics; Dimension (graph theory); Arc (geometry); Pure mathematics; Mathematical analysis; Geometry; Combinatorics; Statistics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009059479,0.0005896577,0.0007688269,0.00109956,0.001319475,0.00157764,0.000677141,0.0005169336,0.002653862],"category_scores_gemma":[0.003408591,0.0006028946,0.0007600765,0.0007349727,0.002230975,0.003883444,0.003091493,0.00141164,0.0004581853],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007781513,"about_ca_system_score_gemma":0.0003234587,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009490625,"about_ca_topic_score_gemma":0.0005748703,"domain_scores_codex":[0.9988334,0.0002287442,0.00007088667,0.0004077807,0.000262642,0.000196595],"domain_scores_gemma":[0.9967956,0.001179765,0.0006154971,0.0005527355,0.0004363309,0.0004200453],"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":[0.0004923969,0.00004211298,0.003340175,0.0002298117,0.0001049715,0.0006610602,0.001198146,0.009664584,0.0208106,0.9509615,0.0008895033,0.01160519],"study_design_scores_gemma":[0.000104999,0.0003763531,0.01059024,0.00006388694,0.0001998087,0.001308958,0.0008558509,0.0389127,0.02922615,0.8967604,0.02152939,0.00007119501],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8214852,0.001572251,0.1415999,0.0004397657,0.00008539446,0.00004248291,0.0004700219,0.0002916236,0.03401342],"genre_scores_gemma":[0.9778348,0.0003067671,0.01287436,0.0000829803,0.00008054286,0.00004336765,0.0003978613,0.00006775057,0.008311522],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002653862,"threshold_uncertainty_score":0.008878052,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1654726779161316,"score_gpt":0.2501454586137062,"score_spread":0.08467278069757458,"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."}}