Antonio Aviles: Boolean algebras obtained by push-out iteration
12/10/15 15:58
Tuesday, October 20, 2015 17:15
Room: D1-215
Speaker: Antonio Aviles (University of Murcia)
Title: Boolean algebras obtained by push-out iteration
Abstract. We discuss the notion of push-out in the category of Boolean algebras, and we describe a method of constructing Boolean algebras by transfinite iterative push-outs. Under CH and in a model obtained by adding \(\aleph_2\) Cohen reals to a model of CH, \(P(\omega)/fin\) is such an algebra.
Room: D1-215
Speaker: Antonio Aviles (University of Murcia)
Title: Boolean algebras obtained by push-out iteration
Abstract. We discuss the notion of push-out in the category of Boolean algebras, and we describe a method of constructing Boolean algebras by transfinite iterative push-outs. Under CH and in a model obtained by adding \(\aleph_2\) Cohen reals to a model of CH, \(P(\omega)/fin\) is such an algebra.