{"id":"W2045912460","doi":"10.5539/mas.v1n4p30","title":"Some Properties of Relative Topological Space","year":2007,"lang":"en","type":"article","venue":"Modern Applied Science","topic":"Fuzzy and Soft Set Theory","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Paracompact space; Hausdorff space; Cartesian product; Topological space; Normal space; Topology (electrical circuits); Product (mathematics); Mathematics; Pure mathematics; Property (philosophy); Space (punctuation); Product topology; Cartesian coordinate system; Computer science; Topological vector space; Discrete mathematics; Combinatorics; Geometry; Philosophy; Epistemology","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.009457327,0.0001177392,0.0002439348,0.0002839455,0.0003411224,0.00009001681,0.001408825,0.00007656978,0.00005150404],"category_scores_gemma":[0.001832435,0.00007172814,0.00005936371,0.001144231,0.003111692,0.0005414269,0.0003410975,0.0001735926,0.0001972851],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004851715,"about_ca_system_score_gemma":0.0001407649,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006125821,"about_ca_topic_score_gemma":0.000004429092,"domain_scores_codex":[0.9965245,0.00004279385,0.000460575,0.0005925121,0.001943626,0.000436018],"domain_scores_gemma":[0.9982725,0.0005962391,0.0001812249,0.0005804721,0.0002111723,0.0001583802],"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":[0.00006930908,0.00003668849,0.0001801573,0.00000137638,0.000001346366,0.000002161841,0.002481679,0.00006169879,0.4866836,0.5053117,0.00002747768,0.005142862],"study_design_scores_gemma":[0.0001358952,0.00003981236,0.002893781,0.000005900855,0.000002043095,0.000002821795,0.001214735,0.002269538,0.2038073,0.7892851,0.000225574,0.0001174327],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8619121,0.0002227363,0.07829078,0.0003767531,0.000204971,0.0001852099,0.000001627938,0.00004625474,0.05875956],"genre_scores_gemma":[0.9966418,0.000003086721,0.001872015,0.0002217049,0.00005304643,0.000003905384,8.297729e-8,0.000004395554,0.001200009],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2839735,"threshold_uncertainty_score":0.9996012,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1205756397588945,"score_gpt":0.3495358920321497,"score_spread":0.2289602522732552,"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."}}