MATH782
| Course Code: |
2360782 |
| METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
| ECTS Credit: |
8.0 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Graduate |
| Course Coordinator: |
|
| Offered Semester: |
Fall and Spring Semesters. |
Course Content
Topological preliminaries. Polish spaces, compact metric spaces, zero-dimensional spaces and Baire category methods. Measurable spaces and standard Borel spaces. Borel hierarchy, Borel sets and their regularity properties, and the Borel isomorphism theorem. Projective sets, analytic and coanalytic sets, and their regularity properties. Separation theorems. Polish groups. Selected topics: Borel determinacy, various uniformization theorems, theory of Borel equivalence relations etc.
