Universität Wien

250179 PS Introductory seminar on Axiomatic set theory 1 (2022S)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

max. 25 participants
Language: English

Lecturers

Classes (iCal) - next class is marked with N

Monday 07.03. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
Monday 14.03. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
Monday 21.03. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
Monday 28.03. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
Monday 04.04. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
Monday 25.04. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
Monday 02.05. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
Monday 09.05. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
Monday 16.05. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
Monday 23.05. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
Monday 30.05. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
Monday 13.06. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
Monday 20.06. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01
Monday 27.06. 13:15 - 14:45 Seminarraum 10, Kolingasse 14-16, OG01

Information

Aims, contents and method of the course

This is the seminar accompanying the lecture course, Introduction to Axiomatic Set Theory. We will follow the topics covered in the lectures, these including : Gödel's constructible universe, Martin's axioms, infinitary combinatorics, the method of forcing. As a particular application of some of these topics we will establish the independence of the Continuum Hypothesis from the usual (Zermelo Fraenkel) axioms of set theory.

Assessment and permitted materials

Students will be expected to attend lectures, and each week a list of exercises pertaining to material covered in the lecture will be posted. Prior to the seminar session students will be asked to indicate which problems they solved/would be willing to present. During the session students will then present their solutions.

Minimum requirements and assessment criteria

Active participation in the problem sessions.

Examination topics

The material covered in the lectures.

Reading list

1) Lecture notes of the course.
2) T. Jech, "Set theory", The third millennium edition, revised and expanded. Springer Monographs in Mathematics. Springer-Verlag, Berlin, 2003. xiv+769 pp.
3) L. Halbeisen, "Combinatorial se theory. With a gentle introduction to forcing". Springer Monographs in Mathematics. Springer, London, 2012. xvi+453 pp.
4) K. Kunen "Set theory", Studies in Logic (London), 34. College Publications, London, 2011, viii+401 pp.

Association in the course directory

MLOM

Last modified: Su 06.03.2022 12:09