{"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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001848365,0.0002020588,0.0003902068,0.00007012048,0.0001418124,0.00001253104,0.0001725064,0.0002658831,0.005218923],"category_scores_gemma":[0.00004103765,0.0001604548,0.00003050085,0.00007408411,0.001012247,0.00006583422,0.00004733577,0.0002704085,0.0002162436],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001544274,"about_ca_system_score_gemma":0.00003967808,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001413155,"about_ca_topic_score_gemma":0.0003833338,"domain_scores_codex":[0.9987728,0.0001657995,0.0002208234,0.0003446979,0.00008221943,0.0004136572],"domain_scores_gemma":[0.9991352,0.0003288236,0.00006927225,0.0003443837,0.00002546673,0.00009686122],"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":[0.000336298,0.0001904646,0.00741508,0.00007037441,0.0002011937,0.0003925471,0.002767527,0.000002306804,0.0001456405,0.968138,0.003249124,0.0170914],"study_design_scores_gemma":[0.004069955,0.002414944,0.006256111,0.00003820673,0.0003020627,0.006232225,0.001905808,0.00008874523,0.002045901,0.8897746,0.08583773,0.001033679],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9416618,0.0003444905,0.000234937,0.003363665,0.0001197324,0.0001872034,0.000003530915,0.0001592732,0.05392539],"genre_scores_gemma":[0.9783021,0.0001121094,0.001711179,0.000753536,0.0001172232,0.00003555158,0.000003833332,0.00002666445,0.0189378],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08258861,"threshold_uncertainty_score":0.9956905,"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."}}