discipline

Pure Math

subject

Set theory

lecturers

Péter Komjáth

credits

8

period

1,2,3,4

curriculum

Combinatorial set theory. Infinite graphs. Ramsey’s theorem. Inaccessible, Mahlo, weakly compact, measurable, supercompact, cardinals. The singular cardinal problem.

Axiomatic set theory. Forcing, Cohen reals. Forcing a Suslin tree. Kurepa-trees. Iterated forcing. Martin’s axiom. Prikry forcing. Kunen’s theorem.

literature

K. Kunen: Set theory, An introduction to independence proof, North Holland.

A. Kanamori: The higher infinite, Springer, 1994.

Form of tuition

lectures

mode of assessment

oral exam