Antonio Aviles

# Antonio Aviles: Boolean algebras obtained by push-out iteration

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.