{"id":"W4414138624","doi":"10.1007/s00208-025-03244-0","title":"A link condition for simplicial complexes, and CUB spaces","year":2025,"lang":"en","type":"article","venue":"Mathematische Annalen","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Link (geometry); Simplicial complex; Geodesic; Euclidean geometry; Metric space; Space (punctuation); Regular polygon; Euclidean space","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001622827,0.0006757653,0.0007852804,0.003887805,0.004066391,0.005179342,0.001285179,0.002571258,0.01762328],"category_scores_gemma":[0.007421138,0.0006920169,0.0007678033,0.002507848,0.003810901,0.01652622,0.005197241,0.003695935,0.001808242],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001895442,"about_ca_system_score_gemma":0.001190595,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002440931,"about_ca_topic_score_gemma":0.002347236,"domain_scores_codex":[0.9991292,0.0002082556,0.00005953261,0.0002097021,0.0002382524,0.0001550229],"domain_scores_gemma":[0.9969105,0.001433644,0.0002712205,0.0002210232,0.0005799511,0.0005837452],"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":[0.00001633498,0.00001067764,0.000166659,0.00002046383,0.000002813314,0.00003951623,0.0001580643,0.000159059,0.0002469336,0.9965591,0.001103923,0.001516456],"study_design_scores_gemma":[0.00001268087,0.00001477722,0.0002869073,0.00001865979,0.000008457286,0.00008322098,0.0002989168,0.001936497,0.000316263,0.9901739,0.006836927,0.00001274336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3716751,0.003150903,0.2924625,0.01125683,0.001166726,0.0001630238,0.002059851,0.0006513961,0.3174137],"genre_scores_gemma":[0.9019519,0.001543155,0.03141045,0.001665356,0.0008962805,0.0003167621,0.001726531,0.0003326271,0.06015699],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01762328,"threshold_uncertainty_score":0.05895573,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04860246725740974,"score_gpt":0.3642049375773802,"score_spread":0.3156024703199704,"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."}}