Arturo Antonio Martínez Celis Rodríguez: Rosenthal Families
10/03/21 15:24
Tuesday, March 16, 2021 17:00
Location: Zoom.us: if you want to participate please contact organizers
Speaker: Arturo Antonio Martínez Celis Rodríguez (University of Wroclaw)
Title: Rosenthal Families
Abstract: A collection of infinite subsets of the natural numbers is a Rosenthal family if it can replace the family of all infinite subsets in a classical Lemma by Rosenthal concerning sequences of measures on pairwise disjoint sets. In this talk we will show that every ultrafilter is a Rosenthal family and that the minimal size of a Rosenthal family is the reaping number. We will also try to show some connections to functional analysis.
Location: Zoom.us: if you want to participate please contact organizers
Speaker: Arturo Antonio Martínez Celis Rodríguez (University of Wroclaw)
Title: Rosenthal Families
Abstract: A collection of infinite subsets of the natural numbers is a Rosenthal family if it can replace the family of all infinite subsets in a classical Lemma by Rosenthal concerning sequences of measures on pairwise disjoint sets. In this talk we will show that every ultrafilter is a Rosenthal family and that the minimal size of a Rosenthal family is the reaping number. We will also try to show some connections to functional analysis.