{"id":"W1974459412","doi":"10.2478/dema-2014-0016","title":"Slice Theorem For Differential Spaces And Reduction By Stages","year":2014,"lang":"en","type":"article","venue":"Demonstratio Mathematica","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Homogeneous space; Locally compact space; Quotient; Quotient space (topology); Reduction (mathematics); Group action; Pure mathematics; Lie group; Topology (electrical circuits); Group (periodic table); Combinatorics; Geometry; Quantum mechanics","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":[],"consensus_categories":[],"category_scores_codex":[0.0004177112,0.0001880057,0.0003381949,0.00004657006,0.0001941755,0.0000627642,0.0001367595,0.0001723258,0.0002088691],"category_scores_gemma":[0.000508327,0.0001559751,0.00006419006,0.00004765168,0.0003607482,0.00009091195,0.00003117474,0.0001181261,0.00001479958],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000107186,"about_ca_system_score_gemma":0.00002171428,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002652066,"about_ca_topic_score_gemma":0.000007631036,"domain_scores_codex":[0.9988843,0.000126787,0.0003383803,0.000273155,0.0001174935,0.0002598956],"domain_scores_gemma":[0.9984403,0.001003443,0.0001628303,0.0002738376,0.00004291483,0.00007672293],"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":[0.00001994732,0.0001107989,0.00004526749,0.0001718105,0.00005223665,3.296908e-7,0.0007035435,6.277569e-8,0.006335184,0.9844991,0.005572222,0.002489494],"study_design_scores_gemma":[0.0004723926,0.0001925161,0.00003704389,0.00002731185,0.0001065266,0.00009793715,0.0004060103,0.0008503621,0.01075271,0.9857478,0.001114518,0.0001948336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7282845,0.0000448511,0.261349,0.001848989,0.0001801396,0.0005955516,0.00002025499,0.0001577474,0.007518987],"genre_scores_gemma":[0.9699433,0.000009346893,0.02840257,0.00005269378,0.0001390862,0.0001299423,0.00001121234,0.00002616809,0.00128561],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2416589,"threshold_uncertainty_score":0.6360479,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01851477134244144,"score_gpt":0.2859063393717008,"score_spread":0.2673915680292594,"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."}}