{"id":"W754203602","doi":"10.5287/ora-pd2jr8p2v","title":"Topics in general and set-theoretic topology: slice sets, rigid subsets of the reals, Toronto spaces, cleavability, and neight","year":2013,"lang":"en","type":"dissertation","venue":"Oxford University Research Archive (ORA) (University of Oxford)","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Cardinality (data modeling); Mathematics; Uncountable set; Topological space; Generalization; Discrete mathematics; Combinatorics; Homeomorphism (graph theory); Real line; Hausdorff space; Regular cardinal; Topology (electrical circuits); Set (abstract data type); Function (biology); Point (geometry); Cardinal number (linguistics); Computer science; Countable set; Data mining","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008739922,0.0003217542,0.0007358215,0.0003796756,0.0005520973,0.00001576717,0.001041358,0.0004920585,0.0003400991],"category_scores_gemma":[0.00026868,0.00033229,0.0001684954,0.0003272945,0.002430302,0.0004079903,0.0008982631,0.001032236,0.000001260468],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002651594,"about_ca_system_score_gemma":0.0002877509,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004335913,"about_ca_topic_score_gemma":0.05822634,"domain_scores_codex":[0.996924,0.001151502,0.0002574796,0.0006197932,0.0004483823,0.0005988808],"domain_scores_gemma":[0.9974239,0.001012361,0.0003558697,0.0007156208,0.0002898865,0.0002023652],"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":[0.001886522,0.0002570889,0.01708357,0.001384796,0.0002263146,0.00008413196,0.0183841,0.00000420958,0.0003962437,0.9536715,0.002200072,0.004421478],"study_design_scores_gemma":[0.002986224,0.0006607132,0.1012127,0.0005116563,0.0002645532,0.00002948981,0.1025098,0.0005693079,0.000265864,0.7512708,0.038973,0.0007459599],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.957594,0.0002959352,0.0001712855,0.0005455341,0.0001075401,0.0008834546,0.0002643923,0.00002320117,0.04011466],"genre_scores_gemma":[0.9041457,0.01735849,0.01465653,0.00003673623,0.0000803885,0.000001454918,0.0004959931,0.00008285367,0.06314183],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2024007,"threshold_uncertainty_score":0.9999129,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02525653753305709,"score_gpt":0.2986532102988921,"score_spread":0.2733966727658351,"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."}}