SUBJECT
Title
Set theory II
Type of instruction
lecture
Level
master
Faculty
Part of degree program
Credits
6
Recommended in
Semesters 1-4
Typically offered in
Autumn/Spring semester
Course description
Constructibility. Product forcing. Iterated forcing. Lévy collapse. Kurepa tree. The consistency of Martin’s axiom. Prikry forcing. Measurable, strongly compact, supercompact cardinals. Laver diamond. Extenders. Strong, superstrong, Woodin cardinals. The singular cardinals problem. Saturated ideals. Huge cardinals. Chang’s conjecture. Pcf theory. Shelah’s theorem.
Readings
A. Hajnal, P. Hamburger: Set Theory. Cambridge University Press, 1999.
Further reading:
- K. Kunen: Set Theory.
- A. Kanamori: The Higher Infinite.