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

Tuesday, October 20, 2015, 17:15
Wrocław University of Technology, 215 D-1

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.

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