March 21
Tristan van der Vlugt,
TU Wien
Meagre and Null Ideals for Uncountable Cardinals
We will consider the space of functions from $\lambda$ to $\kappa$ for various choices of $\lambda$ and $\kappa$. In the first part of the talk we define topologies on such spaces and discuss the $\mu$-meagre ideal (i.e. sets that are unions of $\mu$-many nowhere dense sets), and their associated cardinal invariants. In the second part, we will look at various ways to consider (cardinal invariants of) the null ideal on such spaces.