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250123 VO Special Topics in Set Theory (2021W)
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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
Language: English
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
Depending on the ongoing situation involving the pandemic the lectures will be some combination of in person, hybrid and on Zoom, with the precise make up subject to change as necessary.
The Zoom link, if and when we meet on Zoom, will be available on the Moodle course page. You may also write to corey.bacal.switzer@univie.ac.at to obtain it.
Tuesday
05.10.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Thursday
07.10.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Tuesday
12.10.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Thursday
14.10.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Tuesday
19.10.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Thursday
21.10.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Thursday
28.10.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Thursday
04.11.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Tuesday
09.11.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Thursday
11.11.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Tuesday
16.11.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Thursday
18.11.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Tuesday
23.11.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Thursday
25.11.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Tuesday
30.11.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Thursday
02.12.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Tuesday
07.12.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Thursday
09.12.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Tuesday
14.12.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Thursday
16.12.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Tuesday
11.01.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Thursday
13.01.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Tuesday
18.01.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Thursday
20.01.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Tuesday
25.01.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Thursday
27.01.
09:45 - 11:15
Seminarraum 10, Kolingasse 14-16, OG01
Information
Aims, contents and method of the course
This is a more advanced course in set theory, picking up where Axiomatic Set Theory from last semester left off. The focus of the course is on the method of forcing and its applications. We will be particularly interested in iterated forcing and its applications to problems in topology, analysis and combinatorics. Most important among these will be the study of classical cardinal characteristics such as b, d, a and the cardinals associated with the ideals of meager and measure zero sets. We will also discuss Martin's axiom and the independence of Souslin's hypothesis.It is strongly recommended that students of this course also attend Professor Fischer's Research Seminar in Set Theory.
Assessment and permitted materials
A final oral exam or regular class participation in the form of assignments.
Minimum requirements and assessment criteria
Examination topics
The material covered in the lectures.
Reading list
1) Lecture notes of the course2) Uri Abraham, "Proper Forcing", in Handbook of Set Theory, Foreman, Kanamori, and Magidor (eds.), Springer, 2010, pp.333-394.3) T. Bartoszynski and H. Judah, "Set Theory: On the Structure of the Real Line". A.K. Peters, Wellsley, MA, 1995. x+546pp.4) L. Halbeisen, "Combinatorial Set Theory with a Gentle Introduction to Forcing", Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2017. xvi+594pp.5) T. Jech, "Set Theory", The Third millennium edition, revised and expanded. Springer Monographs in Mathematics. Springer-Verlag, Berlin, 2003. xiv + 769pp.6) K. Kunen, "Set Theory", Studies in Logic, Mathematical Logic and Foundations Vol. 34. Revised Edition. College Publications, London, 2013. viii + 402pp.7) S. Shelah, "Proper and Improper Forcing", Second Edition. Perspectives in Logic, Cambridge University Press, Cambridge, 2016. xlviii+1020pp.
Association in the course directory
MLOV
Last modified: We 15.06.2022 17:09