Antonio Aviles
Antonio Aviles: Amalgamation of measures and Banach lattices
21/10/20 15:10
Tuesday, October 27, 2020 17:15
Location: Zoom.us: if you want to participate please contact organizers
Speaker: Antonio Aviles (University of Murcia)
Title: Amalgamation of measures and Banach lattices
Abstract: Given two measures that coincide on the intersection of their domains, can we find a measure that is a common extension of those two? Kellerer's results on marginal measures constitute an important partial positive answer. We will see how this is connected to some basic properties of the category of Banach lattices, like amalgamation and existence of injective objects. Joint work with Pedro Tradacete.
Location: Zoom.us: if you want to participate please contact organizers
Speaker: Antonio Aviles (University of Murcia)
Title: Amalgamation of measures and Banach lattices
Abstract: Given two measures that coincide on the intersection of their domains, can we find a measure that is a common extension of those two? Kellerer's results on marginal measures constitute an important partial positive answer. We will see how this is connected to some basic properties of the category of Banach lattices, like amalgamation and existence of injective objects. Joint work with Pedro Tradacete.
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.