{"id":"W4387098057","doi":"10.1007/s10485-023-09746-9","title":"Nonexistence of Colimits in Naive Discrete Homotopy Theory","year":2023,"lang":"en","type":"article","venue":"Applied Categorical Structures","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Homotopy; Mathematics; Homotopy category; Class (philosophy); Simple (philosophy); Homotopy hypothesis; Theory of computation; Pure mathematics; Cofibration; n-connected; Model category; Homotopy lifting property; Whitehead theorem; Discrete mathematics; Computer science; Artificial intelligence; Algorithm; Epistemology; Philosophy","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":[0.004172196,0.0006249284,0.001724755,0.002828976,0.004962582,0.006798804,0.00223607,0.002750947,0.004922665],"category_scores_gemma":[0.01261688,0.001248671,0.001095794,0.001649255,0.01205568,0.01491484,0.006840446,0.006109665,0.0004715696],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001974709,"about_ca_system_score_gemma":0.001158194,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001221354,"about_ca_topic_score_gemma":0.001404534,"domain_scores_codex":[0.9969867,0.0007203237,0.0001991131,0.0007354884,0.0008840307,0.0004744458],"domain_scores_gemma":[0.9889993,0.006451899,0.0004723962,0.001574234,0.001498949,0.001003142],"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":[0.0000249443,0.00001734393,0.0003108174,0.00002076663,0.000005391523,0.00007177127,0.0002781657,0.0001777227,0.0003023258,0.997718,0.0001681233,0.0009047096],"study_design_scores_gemma":[0.00001054733,0.000008975989,0.0001528476,0.00000511101,0.000005963557,0.0000672403,0.0001142658,0.0009791142,0.0002662331,0.9978404,0.000542056,0.000007380132],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7014922,0.001136957,0.1748585,0.004983738,0.000422547,0.00008076019,0.0002905608,0.0005455086,0.1161892],"genre_scores_gemma":[0.9810795,0.0002637528,0.008897146,0.0003372899,0.0001885073,0.00007104641,0.0001937928,0.00005868637,0.00891035],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006798804,"threshold_uncertainty_score":0.02206492,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0313268045336884,"score_gpt":0.3135791921182064,"score_spread":0.282252387584518,"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."}}