Artsiom Ranchynski: Ultrafilters avoiding measures
09/01/23 15:18
Tuesday, January 10, 2023 17:00
Location: room C11-3.11
Speaker: Artsiom Ranchynski
Title: Ultrafilters avoiding measures
Abstract: A point \(x\) avoids measures if whenever \(\mu\) is a measure such that \(\mu({x})=0\), then \(x\) does not belong to the support of \(\mu\). In this talk I will construct a point avoiding non-atomic measures in the Stone-Cech compactification of naturals. I will discuss the relation of such points to other special points in \(\beta N\).
Location: room C11-3.11
Speaker: Artsiom Ranchynski
Title: Ultrafilters avoiding measures
Abstract: A point \(x\) avoids measures if whenever \(\mu\) is a measure such that \(\mu({x})=0\), then \(x\) does not belong to the support of \(\mu\). In this talk I will construct a point avoiding non-atomic measures in the Stone-Cech compactification of naturals. I will discuss the relation of such points to other special points in \(\beta N\).