Graduate Seminar on Set Theory (S4A4)

Lecturers

• Prof. Dr. P. Koepke
• Dr. Bernhard Irrgang

Time and location

Montag, 16 - 18 Uhr, (SR B), Beringstrasse 4

Contents

The seminar will be about large cardinals with particular emphasis on 0-sharp and measurable cardinals. There will be connections to the lecture course on the core model (Models of set theory II - V5A3).

Program

1. Ultrapowers and Los' Theorem

   October 22, 2007
   Gregor Weckbecker
   Jech p. 158 - 161

2. Measurable Cardinals

   November 5, 2007
   Daniel Kühlwein
   Jech Def. 10.3, Lemma 10.4, p. 285 - 288; Handout, Ausarbeitung

3. Partition Cardinals

   November 12, 2007
   Dörthe Arndt
   Jech p. 299 - 305; Handout

4. Kunen's Theorem and L[U]

   November 19, 2007
   Karen Räsch
   Jech Thm. 17.7, p. 339 - 340, Thm. 10.22; Handout, Ausarbeitung

5. Models with Indiscernibles

   November 26, 2007
   Tim Fischbach
   Jech p. 313 - 318; Ausarbeitung

6. Silver's Theorem and 0-sharp

   December 3, 2007
   Tim Fischbach
   Jech p. 319 - 322

7. Elementary Embeddings of L

   December 10, 2007
   Nicolas Vandenbergen
   Jech p. 322 - 328; Handout

References

1. Thomas Jech: Set Theory, The Third Millenium Edition, Springer, 2002