Logic Seminar
Su Gao
University of North Texas
Borel ideals and isomorphism problem of Boolean algebras
Abstract: We consider quotient Boolean algebras of the form P(N)/I, where I is an ideal on N, and their isomorphism
types. Mike Oliver in his PhD dissertation proved that there are continuum many non-isomorphic such
Boolean algebras induced by Borel ideals. In a joint work with Oliver we show that every analytic
equivalence relation is Borel reducible to this isomorphism relation.
Tuesday November 22, 2005 at 4:00 PM in SEO 427