Graduate Seminar on Set Theory (S4A4)
Time and place
Tuesday 16.15-18.00, Room N0.003.
Topic
Large cardinals and forcing.
Talks
- 1. Tashi Walde (15. & 22.10.2013): The large cardinal hierarchy:Inaccessible cardinals, Mahlo cardinals and weakly compact cardinals. [4: 39-41, 76-77]
- 2. Richard Obersheimer (29.10.2013): The large cardinal hierarchy: Measurable cardinals. [4:44-50]
- 3. Aras Ergus (05.11.2013): The large cardinal hierarchy: Strong cardinals, strongly compact cardinals and supercompact cardinals. [4: 298-302, 307, 358]
- 4. Finn Schmieter (12.11.2013): Small forcings. [1: 806-808] + [2: 390-391]
- 5. Luisa Vogel (19.11.2013): The Levy Collapse. [4: 127-131]
- 6. Felix Chopra (26.11.2013): The perfect subset property for Π11-sets of reals. [4: 173-174, 182-183]
- 7. Ana Njegomir (03.12.2013): Failures of the Kurepa hypothesis. [3: 9-11]
- 8. Michael Buchner (10.12.2013): The non-existence of square sequences. [5: 1-3] + [6: 47-50]
Literature
- [1] James Cummings: Iterated forcing and elementary embeddings.
Handbook of set theory. Vols. 1, 2, 3, 775-883, Springer, Dordrecht, 2010.
[2] Thomas Jech: Set theory. The third millennium edition, revised and expanded.
Springer Monographs in Mathematics. Springer-Verlag, Berlin, 2003.
- [3] Thomas Jech: Trees. Journal of Symbolic Logic 36, 1-14, 1971.
- [4] Akihiro Kanamori: The higher infinite.
Large cardinals in set theory from their beginnings. Second edition. Springer Monographs in Mathematics. Springer-Verlag, Berlin, 2003.
- [5] John Krueger and Ernest Schimmerling: Separating Weak Partial Square Principles. Preprint.
- [6] Boban Velickovic: Jensen's square principles and the Novak number of partially ordered sets.
Journal of Symbolic Logic 51, no. 1, 47-58, 1986.
