Course for international guest/part time students

Faculty

Faculty of Science

Organization

TTK Department of Computer Science

Code

halmel1u0um17em

Title

Set theory 1 (l)

Usual semester

Autumn

Published semester

2026/27/1

ECTS

6

Language

hu

Learning outcomes

Knowledge: Knowledge of basic concepts, results and methods in the field. Ability: Application of knowledge in the field, understanding of interrelationships and problem solving. Attitude: Desire to improve mathematical knowledge and to learn as much as possible, and to apply knowledge as widely as possible. Autonomy and responsibility: Formulate and analyse mathematical questions independently and evaluate the limits of their applicability responsibly.

Course content

Neumann ordinals, cumulative hierarchy, cofinality, Hausdorff theorem, regular, singular ordinals, König inequality, Stationary sets, Fodor’s theorem, Ulam matrix, Measure problems, Measurable cardinals, Delta systems, Partition relations, Set mappings, Collapse, Forcing, Continuum can be aleph-2

Assessment method

verbal exam

Bibliography

lecture notes

Recommended bibliography

A. Hajnal, P. Hamburger: Set Theory

Programmes of the course