Universität Wien
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250100 VO Axiomatic set theory 1 (2020S)

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

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

For information regarding home-learning please see the Moodle-page of the course.

  • Thursday 05.03. 12:00 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 05.03. 13:45 - 15:15 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 19.03. 12:00 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 19.03. 13:45 - 15:15 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 02.04. 12:00 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 02.04. 13:45 - 15:15 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 23.04. 12:00 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 23.04. 13:45 - 15:15 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 30.04. 12:00 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 30.04. 13:45 - 15:15 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 07.05. 12:00 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 07.05. 13:45 - 15:15 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 14.05. 12:00 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 14.05. 13:45 - 15:15 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 28.05. 12:00 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 28.05. 13:45 - 15:15 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 04.06. 12:00 - 13:30 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
  • Thursday 04.06. 13:45 - 15:15 Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48

Information

Aims, contents and method of the course

This lecture will be an introduction to set theory, in particular to independence proofs. The goal is to establish the independence of the continuum hypothesis. We will start from the ZFC axioms and introduce ordinals and cardinals. Then we will define Gödel's constructible universe L and show that it is a model of ZFC and GCH, the generalized continuum hypothesis. Furthermore, we will introduce measurable cardinals and show that they cannot exist in L. If time allows, we will discuss variants L[U] of L which allow the existence of a measurable cardinal. Finally, we will introduce Cohen's forcing technique and show that there is a model of ZFC in which the continuum hypothesis does not hold.

Assessment and permitted materials

Oral exam by appointment via video using jitsi. Please, see the moodle page of the course for further information.

Minimum requirements and assessment criteria

See above. To take the oral exam it is necessary to enroll in the class by filling your name in the "Teilnehmerliste" within the first two weeks of the semester.

Examination topics

All contents of the lectures.

Reading list

See webpage https://muellersandra.github.io/teaching/axiomatic-set-theory-sose-2020/

Association in the course directory

MLOM

Last modified: Mo 07.09.2020 15:21