{"id":"W2147610425","doi":"10.1016/j.topol.2009.06.018","title":"On the categorical meaning of Hausdorff and Gromov distances, I","year":2009,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Functor; Morphism; Concrete category; Commutative property; Disjoint sets; Hausdorff space; Disjoint union (topology); Context (archaeology); Order (exchange); Closed category; Monad (category theory); Pure mathematics; Discrete mathematics","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":[],"consensus_categories":[],"category_scores_codex":[0.0001816981,0.00008730933,0.0001747938,0.00003107643,0.0002188673,0.000004011665,0.0001197257,0.0001226936,0.0001333872],"category_scores_gemma":[0.0001305848,0.00005987578,0.0000200593,0.00008300607,0.0003583029,0.00002127995,0.00002516055,0.0001680481,0.000007983765],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005819802,"about_ca_system_score_gemma":0.00001252896,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003829432,"about_ca_topic_score_gemma":0.00001213175,"domain_scores_codex":[0.9993885,0.00007272157,0.0001801865,0.0001735489,0.00004487496,0.0001401675],"domain_scores_gemma":[0.9987917,0.0008634198,0.00008049905,0.0002007283,0.0000262098,0.00003746842],"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":[0.00001101995,0.00006361443,0.00003893761,0.000006666294,0.00001344803,0.000001115829,0.0002954766,1.0594e-7,0.0002559275,0.9962481,0.0004838245,0.002581804],"study_design_scores_gemma":[0.0001373376,0.0001344517,0.000668997,0.000002902404,0.00002723007,0.0000569267,0.000143604,0.00002740007,0.0007818241,0.9955142,0.002443305,0.00006180636],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8817723,0.002124749,0.01582275,0.04414706,0.00009427828,0.0009933022,0.00001817086,0.0001148131,0.05491253],"genre_scores_gemma":[0.9983819,0.0001391202,0.0003274189,0.0006078579,0.00003576187,0.00006409185,0.000002233094,0.000004119011,0.0004375145],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1166095,"threshold_uncertainty_score":0.2441663,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02754483305212183,"score_gpt":0.3025746518139045,"score_spread":0.2750298187617826,"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."}}