250100 VO Axiomatic set theory 1 (2020S)
Labels
An/Abmeldung
Hinweis: Ihr Anmeldezeitpunkt innerhalb der Frist hat keine Auswirkungen auf die Platzvergabe (kein "first come, first served").
Details
Sprache: Englisch
Prüfungstermine
Lehrende
Termine (iCal) - nächster Termin ist mit N markiert
For information regarding home-learning please see the Moodle-page of the course.
Donnerstag
05.03.
12:00 - 13:30
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
05.03.
13:45 - 15:15
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
19.03.
12:00 - 13:30
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
19.03.
13:45 - 15:15
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
02.04.
12:00 - 13:30
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
02.04.
13:45 - 15:15
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
23.04.
12:00 - 13:30
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
23.04.
13:45 - 15:15
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
30.04.
12:00 - 13:30
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
30.04.
13:45 - 15:15
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
07.05.
12:00 - 13:30
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
07.05.
13:45 - 15:15
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
14.05.
12:00 - 13:30
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
14.05.
13:45 - 15:15
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
28.05.
12:00 - 13:30
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
28.05.
13:45 - 15:15
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
04.06.
12:00 - 13:30
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Donnerstag
04.06.
13:45 - 15:15
Seminarraum , UZA Augasse 2-6, 5.Stock Kern D SR5.48
Information
Ziele, Inhalte und Methode der Lehrveranstaltung
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.
Art der Leistungskontrolle und erlaubte Hilfsmittel
Oral exam by appointment via video using jitsi. Please, see the moodle page of the course for further information.
Mindestanforderungen und Beurteilungsmaßstab
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.
Prüfungsstoff
All contents of the lectures.
Literatur
Zuordnung im Vorlesungsverzeichnis
MLOM
Letzte Änderung: Mo 07.09.2020 15:21