http://www-personal.umich.edu/%7Esschnei/Simultaneous%20Reducibility%20of%20Pairs%20of%20Borel%20Equivalence%20Relations.pdf WebBorel reduction from Eto ( Y), where ( Y) is the equality relation on some (equivalently any) uncountable standard Borel space Y. By Silver’s dichotomy theorem [17], if Eis any Borel (in fact coanalytic) equivalence relation with uncountably many equivalence classes, then ( R) B E. Hence the smooth relations are B-least Borel equivalence ...
ON POLISH GROUPS ADMITTING NON-ESSENTIALLY …
WebBOREL REDUCIBILITY AND SYMMETRIC MODELS ASSAF SHANI Abstract. We develop a correspondence between Borel equivalence relations induced by closed subgroups of … WebSep 14, 2024 · it is proved that if there is a Borel reduction (Modω(Φ),∼=) ≤B (Modω(Ψ),∼=), then CSS(Φ) ptl ≤ CSS(Ψ) ptl (where we interpret these ‘cardinalities’ to be ∞ if they are proper classes). This is quite useful, although in the above formulation the elements of CSS(Φ) ptl are simply sentences of L∞,ω and are hard to ... stainless steel smart meter cover
Topics in Representation Theory: The Borel-Weil …
WebSep 14, 2024 · it is proved that if there is a Borel reduction (Modω(Φ),∼=) ≤B (Modω(Ψ),∼=), then CSS(Φ) ptl ≤ CSS(Ψ) ptl (where we interpret these ‘cardinalities’ … Web0 a Borel subgroup of G 0, and Bthe scheme-theoretic closure of B 0 in G. Our goal is to prove the following version of a theorem of Drinfeld and Simpson: Theorem 1. Let Rbe a … WebJan 1, 2007 · Motivated by this interest, we define a simultaneous reduction from the pair E ⊆ F to the pair E ′ ⊆ F ′ to be a function that is at once a reduction from E to E ′ and a reduction from F ... stainless steel small dishwasher