**"****Souslin Sets****"**

By

**ZELİHA URAL**

**(BİLKENT UNIVERSITY)**

**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**

**Time: ****14:40**

**Place: ****Mathematics Seminar Room,
SA-141**

Tea and cookies will be served before the
seminar.