Abstract: We will define the Souslin operation and the Souslin sets obtained byapplication of this operation to closed sets. First, we will show each Borel set in a metric space is a Souslin set. Then, we will prove, in a seperable metric space, each Souslin set can be obtained by nested closed sets that have diameters tending to zero. Moreover, certain subsets of Souslin sets are compact. Also we will mention some applications of this results to measure theory.
Date: Monday, April 6, 2015
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the seminar.