{"id":"W2070880807","doi":"10.1016/s0040-9383(99)00047-6","title":"Spaces with Lusternik–Schnirelmann category n and cone length n+1","year":2000,"lang":"en","type":"article","venue":"Topology","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Cone (formal languages); Pure mathematics; Combinatorics; Algorithm","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":[0.0007440428,0.0006642811,0.0006292711,0.002861946,0.002904972,0.002741307,0.001307408,0.001181743,0.005762246],"category_scores_gemma":[0.001347974,0.0003730754,0.000490628,0.001361095,0.003591366,0.006172797,0.003060978,0.00204352,0.0005675169],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001708159,"about_ca_system_score_gemma":0.0009071555,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001753295,"about_ca_topic_score_gemma":0.002395002,"domain_scores_codex":[0.9994785,0.00009242605,0.00002344491,0.0001261785,0.0001742627,0.000105149],"domain_scores_gemma":[0.9989172,0.0002721477,0.00021162,0.0001021036,0.0001484533,0.0003484549],"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":[0.00002785727,0.00002250303,0.0003957353,0.00001851577,0.00000465062,0.00009104808,0.0001579586,0.0004486132,0.0007364415,0.9947953,0.0007474035,0.002553951],"study_design_scores_gemma":[0.000009399076,0.00002753796,0.000992763,0.000007980696,0.000005048476,0.0002189914,0.0001490152,0.003212902,0.0006433009,0.9904637,0.004252357,0.00001695269],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6539004,0.002020508,0.1086594,0.003304559,0.0004409288,0.00006884468,0.000526599,0.0004229488,0.2306558],"genre_scores_gemma":[0.95957,0.0005104379,0.01394556,0.0003071751,0.0003038835,0.00004666252,0.0003514905,0.00005847502,0.02490624],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005762246,"threshold_uncertainty_score":0.01927662,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01892934174152545,"score_gpt":0.2756251674834143,"score_spread":0.2566958257418889,"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."}}