- 1.
- Axiomatic set theory. The systems ZF and ZFC. Relations between sets and classes.
- 2.
- Principles of transfinite induction and recursion, and applications.
- 3.
- The definitions of ordinal and cardinal numbers. Cardinal and ordinal arithmetic with and without the Generalized Continuum Hypothesis.
- 4.
- Natural models of set theory and parts thereof. Reflection principles.
- 5.
- Transfinite trees, closed unbounded and stationary sets.