MATH 592 — Descriptive Set Theory

Polish spaces; universality of the Hilbert cube, the Cantor space, and the Baire space; the Cantor–Bendixson theorem; Baire spaces; the Borel hierarchy; change of topology techniques; infinite games; analytic and co-analytic sets; analytic separation; the Luzin–Souslin theorem; the Borel and measure isomorphism theorems; regularity properties of analytic sets; uniformization; the projective hierarchy. Optional topics: Polish groups and their actions; definable equivalence relations and graphs; effective descriptive set theory.

• Credits: 4
• Faculty: Faculty of Science
• Department: Mathematics and Statistics
• Taught by: Anush Tserunyan
• Prerequisites: MATH 454 or MATH 451 or permission of the instructor.

Sections offered

• Section 001 (Lec), Mon Wed 3:35-4:55 pm — 5 seats open