Diego Mejia
Diego Mejia: Ultrafilters and finitely additive measures in forcing theory
17/11/23 11:55
Tuesday, November 21, 2023 17:00
Location: room 601, Mathematical Institute, University of Wroclaw
Speaker: Diego Mejia (Shizuoka University)
Title: Ultrafilters and finitely additive measures in forcing theory
Abstract: We show how ultrafilters and finitely additive measures on the power set of the natural numbers can be used in forcing theory to construct models of ZFC where many classical cardinal characteristics have pairwise different values. Very recent remarkable results, like the consistency of Cichon's maximum (the constellation of Cichon's diagram where all non-dependent cardinal characteristics are pairwise different), have been proved using such techniques.
Location: room 601, Mathematical Institute, University of Wroclaw
Speaker: Diego Mejia (Shizuoka University)
Title: Ultrafilters and finitely additive measures in forcing theory
Abstract: We show how ultrafilters and finitely additive measures on the power set of the natural numbers can be used in forcing theory to construct models of ZFC where many classical cardinal characteristics have pairwise different values. Very recent remarkable results, like the consistency of Cichon's maximum (the constellation of Cichon's diagram where all non-dependent cardinal characteristics are pairwise different), have been proved using such techniques.