SUBJECT

Title

Set theory II

Type of instruction

lecture

Level

master

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