{"id":"W1971356968","doi":"10.2140/gt.2013.17.1325","title":"Homotopy completion and topological Quillen homology of structured ring spectra","year":2013,"lang":"en","type":"article","venue":"Geometry & Topology","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"Rheinische Friedrich-Wilhelms-Universität Bonn; Massachusetts Institute of Technology","keywords":"Homotopy; Whitehead theorem; Homotopy category; Homology (biology); Topology (electrical circuits); Commutative property; Model category; Commutative ring; Tower","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":[0.001470333,0.0004509939,0.0005468,0.002234724,0.001251109,0.002231681,0.001060921,0.0006571843,0.005979876],"category_scores_gemma":[0.002109888,0.0003324081,0.0005742452,0.0005393711,0.003595538,0.006313425,0.003313073,0.00158048,0.0007667855],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001030905,"about_ca_system_score_gemma":0.0005994564,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00100125,"about_ca_topic_score_gemma":0.0008290262,"domain_scores_codex":[0.9993198,0.0001344934,0.00002898058,0.0001344707,0.000237334,0.0001450569],"domain_scores_gemma":[0.9984987,0.0004430597,0.0001643728,0.0001228825,0.0002456064,0.0005254363],"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":[0.00002459865,0.0000514737,0.0009063165,0.00003581472,0.000006666997,0.0002922963,0.0006784534,0.001501681,0.003015753,0.9902958,0.0003556388,0.002835355],"study_design_scores_gemma":[0.00004194023,0.0001893918,0.004601174,0.00003694301,0.00001775233,0.000951456,0.0008359927,0.02684963,0.006133394,0.9541654,0.006128158,0.00004874245],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7889505,0.0006941429,0.1461427,0.0007095118,0.0001050969,0.00007420625,0.0001651047,0.0003470513,0.06281165],"genre_scores_gemma":[0.9812312,0.0002280251,0.009447815,0.00007257838,0.00009010226,0.00003255591,0.0001556756,0.00003606289,0.008705985],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005979876,"threshold_uncertainty_score":0.02000463,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02568062486619318,"score_gpt":0.2892453220833963,"score_spread":0.2635646972172031,"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."}}