Bonn Mathematical Logic Group

Hauptseminar mathematische Logik (S2A2) / Graduate Seminar on Set Theory (S4A5)


Dozenten

Zeit und Ort

Tuesdays, 4pm-6pm, starting April 2nd, 2019, SemR. 1.007.


Topics

Large Cardinals.

Programm

1. Jan Henrik Thomm: Measurable Cardinals [1, pp 44-50].
2. Sarah Sturm: Measurable Cardinals, pt. 2 [1, pp 50-55, excluding Theorem 5.9].
3. Claas Latta: Supercompactness [1, pp 298-303].
4. Leo Graf: Supercompactness, pt. 2 [1, pp 303-306] and [2, Theorem 20.21].
5. Oliver Kiss: Strong Compactness [1, Proposition 4.1 and Corollary 4.2] and [1, pp 307-309].
6. Daniel Moreira: Strongly Compact Cardinals and the GCH Theorem 1 from Robert Solovay's paper of the same name.
7. Jan Penquitt: Extendible Cardinals A selection from [1, pp 311-318].
8. Alessandro Codenotti: The strongest hypotheses and Kunen's Inconsistency [1, Theorem 23.12] and a selection from [1, pp 325-335].
9. Pier Giorgio Rayme: Vopenka's Principle [1, pp 335-339].
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Literatur

[1] Akihiro Kanamori: The higher Infinite. 2nd Edition.
[2] Thomas Jech: Set Theory. The third Millennium Edition.