Universität Wien
Warning! The directory is not yet complete and will be amended until the beginning of the term.

250116 VO Axiomatic Set Theory 2 (2019W)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Moodle

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).
Register/Deregister for this course

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Wednesday 02.10. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Monday 07.10. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Wednesday 09.10. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Monday 14.10. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Wednesday 16.10. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Monday 21.10. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Wednesday 23.10. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Monday 28.10. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Wednesday 30.10. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Monday 04.11. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Wednesday 06.11. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Monday 11.11. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Wednesday 13.11. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Monday 18.11. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Wednesday 20.11. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Monday 25.11. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Wednesday 27.11. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Monday 02.12. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Wednesday 04.12. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Monday 09.12. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Wednesday 11.12. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Monday 16.12. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Wednesday 08.01. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Monday 13.01. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Wednesday 15.01. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Monday 20.01. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Wednesday 22.01. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Monday 27.01. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Wednesday 29.01. 12:30 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48

Information

Aims, contents and method of the course

This course will focus on forcing and large cardinal techniques to address some of the classical questions of set theory and analysis. We will begin with a thorough treatment of the fundamental lemmas of forcing. We then show Easton's Theorem on the powers of regular cardinals and discuss the influence of measurable cardinals on the continuum function. Next we turn to two classical questions related to measure on the reals: (a) Do we need the axiom of choice to prove that there is a nonmeasurable set, and (b) Can we extend Lebesgue measure to all sets of reals if we drop translation invariance? We use large cardinals to find an answer and discuss their necessity. Time permitting, we then discuss the tree property.

Assessment and permitted materials

Oral exam by appointment

Minimum requirements and assessment criteria

Mastery of the main ideas of the course

Examination topics

The topics of the course

Reading list

-Set Theory by Thomas Jech
-Lecture notes to be made available

Association in the course directory

MLOV

Last modified: Mo 07.09.2020 15:21