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a-module accumulation point algebra argument assume automorphisms axioms Baire property Borel conjecture Borel equivalence relations Borel set claim clause cofinality Cohen reals comeager condition construction core model Corollary countable define definition denote descriptive set theory disjoint elementary embedding elements enumeration exists fact filter finite forcing notion formula function Hence holds implies inaccessible Suslin cardinal indiscernibles induction infinite initial segment isomorphic iterated ultrapower Judah Kechris large cardinals LD-magma Lemma Logic Mahlo Math Mathematics meager sets measure zero sets ordinal pair parameters partial order partition Pointset Polish space poset Prikry problem proof property of Baire Proposition prove r.e. degrees recursive result satisfies set generic extension set is universally set of reals Shelah stage stationary strong measure zero structure subset Suppose Suslin cardinal topology tree ultrafilter ultrapower uncountable universally Baire set Woodin x-Mahlo xa[s ya[s