{"id":"W2950460208","doi":"10.48550/arxiv.0709.4253","title":"Finitistic dimension through infinite projective dimension","year":2007,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Bishop's University","funders":"Universidad Nacional Autónoma de México","keywords":"Dimension (graph theory); Projective test; Mathematics; Packing dimension; Pure mathematics; Mathematical analysis; Minkowski–Bouligand dimension; Fractal dimension","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"],"consensus_categories":[],"category_scores_codex":[0.0002517888,0.0005553619,0.0006516257,0.0002123,0.0002515537,0.00005094536,0.0005344669,0.0007403773,0.0001016846],"category_scores_gemma":[0.0002596018,0.0005789371,0.0003112193,0.0004244524,0.000175526,0.0001738247,0.001325139,0.001040359,0.00005688965],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003664979,"about_ca_system_score_gemma":0.0002029591,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002677667,"about_ca_topic_score_gemma":0.00002779111,"domain_scores_codex":[0.9976372,0.0001646082,0.0003783509,0.001101122,0.0002066351,0.0005120807],"domain_scores_gemma":[0.9973846,0.000635353,0.0004718587,0.001053297,0.0003119011,0.0001429845],"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":[0.0001921088,0.0001258766,0.0002910614,0.0001878044,0.0001690724,0.0003609638,0.0007423471,0.003512085,0.00001655932,0.993612,0.0007082822,0.00008186971],"study_design_scores_gemma":[0.0008278455,0.0001152222,0.0002447282,0.0003057444,0.0003189553,0.000009327149,0.0002294832,0.005220492,0.0002129524,0.9916064,0.0002696473,0.0006392106],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9349107,0.00008532521,0.05159653,0.0000228171,0.002217192,0.0008636805,0.00003078357,0.0003164117,0.009956557],"genre_scores_gemma":[0.9967715,0.0001217115,0.001442702,0.0001006933,0.0002444665,0.000001974767,0.00003801906,0.00007094073,0.001207971],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06186082,"threshold_uncertainty_score":0.9996662,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1372140229899098,"score_gpt":0.2478645793985153,"score_spread":0.1106505564086055,"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."}}