{"id":"W1991101914","doi":"10.1016/s0166-8641(99)00097-8","title":"On some dimensional properties of 4-manifolds","year":2000,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Metrization theorem; Mathematics; Extension (predicate logic); Separable space; Dimension (graph theory); Pure mathematics; Complex dimension; Manifold (fluid mechanics); Differentiable function; Countable set; Existential quantification; Combinatorics; Mathematical analysis","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":[0.00009853546,0.00009194211,0.0001854184,0.00004519586,0.0001460402,0.000001899658,0.0001105105,0.0001538931,0.001779938],"category_scores_gemma":[0.00003732248,0.0000745197,0.0000297917,0.00005552165,0.0003278108,0.00003560619,0.00002354438,0.0001179577,0.0001531312],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005709958,"about_ca_system_score_gemma":0.00002223077,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006206124,"about_ca_topic_score_gemma":0.000004699682,"domain_scores_codex":[0.9993583,0.0000545562,0.0002032221,0.0001825075,0.0000534018,0.0001480361],"domain_scores_gemma":[0.9994675,0.0002108685,0.00005036031,0.0002042836,0.00002769752,0.00003929884],"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":[0.00003183724,0.0001570372,0.00002223794,0.00001998394,0.00002548459,9.128784e-7,0.0001319379,0.000001649558,0.001622057,0.9952812,0.0003980163,0.002307715],"study_design_scores_gemma":[0.0002622426,0.0001501715,0.0002377644,0.00001024091,0.000031466,0.00005687804,0.00003441948,0.00003802109,0.01102091,0.9845673,0.003490447,0.0001000865],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.989518,0.000572778,0.00003759035,0.002087316,0.00003221852,0.0002768434,0.000008505338,0.00004770652,0.007419018],"genre_scores_gemma":[0.9949816,0.00008103372,0.000229303,0.0005429916,0.00004066035,0.000163223,0.000003041344,0.000007929032,0.003950197],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01071377,"threshold_uncertainty_score":0.9991326,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02759760100860282,"score_gpt":0.2829791307668465,"score_spread":0.2553815297582437,"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."}}