{"id":"W2142372300","doi":"10.70930/tac/5iwxuh4t","title":"Spectra of Finitely Generated Boolean Flows","year":2006,"lang":"en","type":"article","venue":"Theory and applications of categories","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Stone's representation theorem for Boolean algebras; Hausdorff space; Spectrum (functional analysis); Flow (mathematics); Boolean algebra; Sheaf; Complete Boolean algebra; Space (punctuation); Two-element Boolean algebra; Discrete mathematics; Pure mathematics; Algebra over a field; Computer science; Geometry; Algebra representation","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004654843,0.000276714,0.0002534607,0.001944539,0.0008630715,0.001381087,0.0003594764,0.0003816783,0.003737946],"category_scores_gemma":[0.001483395,0.0001535942,0.0004715408,0.0005202821,0.001774204,0.00204111,0.001150437,0.0005568686,0.0002041547],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001104381,"about_ca_system_score_gemma":0.0003576031,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000817558,"about_ca_topic_score_gemma":0.0004960428,"domain_scores_codex":[0.9995922,0.00006922559,0.00002422827,0.0000748577,0.0001485378,0.00009091265],"domain_scores_gemma":[0.9993932,0.0001981775,0.00009474822,0.00005367977,0.0001225877,0.0001376036],"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":[0.00002128967,0.0000121638,0.0006214196,0.00001890928,0.000005705815,0.0001385283,0.0003277687,0.001591431,0.003638805,0.9892827,0.0002269004,0.004114256],"study_design_scores_gemma":[0.00001403884,0.00004164219,0.001318271,0.00002095655,0.000009580607,0.0002519203,0.0003630825,0.02293592,0.003206989,0.9682654,0.00355327,0.00001885169],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8446449,0.0004174358,0.1209774,0.0003233532,0.00005379615,0.0000423155,0.0001597699,0.0001728848,0.03320807],"genre_scores_gemma":[0.9849835,0.0001648915,0.01090833,0.00004940405,0.00006555624,0.00004759853,0.0001134119,0.00003114291,0.003636096],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003737946,"threshold_uncertainty_score":0.0125047,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01488764762862058,"score_gpt":0.2661785881754621,"score_spread":0.2512909405468415,"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."}}