Artsiom Ranchynski: Ultrafilters avoiding measures

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 \(\beta N\).