Mathematics

Polish spaces, i.e. topological spaces that are metrizable by a complete and separable metric, are a quite general and ubiquitous framework one might end up working on and well-known to be nice settings where to study measure theory. The course aims at giving an overview of this aspect. Among other things we will study duality theory between measures and functions, weak convergence, the disintegration theorem and Kolmogorov’s product theorem.