{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034067,0.0007613004,0.001148814,0.004087326,0.002613454,0.005603188,0.001755234,0.002519605,0.005240002],"category_scores_gemma":[0.009349467,0.0005882694,0.0008620166,0.003342613,0.01416746,0.01847828,0.004002591,0.00471218,0.0007094381],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002739929,"about_ca_system_score_gemma":0.0008506731,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001375394,"about_ca_topic_score_gemma":0.001073116,"domain_scores_codex":[0.9986365,0.0006433827,0.00007736465,0.0002599446,0.0002913214,0.00009139164],"domain_scores_gemma":[0.9945309,0.003922223,0.0003366332,0.0003952514,0.000560983,0.0002540885],"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":[0.000005166297,0.000003217855,0.00005597386,0.00001846687,0.000002333063,0.000007802021,0.00009505506,0.0001057476,0.00007227016,0.9971905,0.0009925324,0.001450873],"study_design_scores_gemma":[0.000003078634,0.000006326569,0.0001880213,0.00001629178,0.000003287249,0.00002176247,0.00009121383,0.0005592306,0.00005509858,0.9936254,0.00542338,0.000006848773],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1250736,0.102376,0.4010811,0.06786693,0.007348125,0.00007108011,0.000907548,0.0003735458,0.2949021],"genre_scores_gemma":[0.8590569,0.02517121,0.06281472,0.007824644,0.009657677,0.0002272546,0.0005658539,0.0002115186,0.03447029],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005603188,"threshold_uncertainty_score":0.0198797,"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."}}