Discovering Modern Set Theory

Winfried Just and Martin Weese

Table of Contents of Volume II

Preface
Notation
Chapter 13. Filters and Ideals in Partial Orders
- 13.1 The general concept of a filter
- 13.2 Ultraproducts
- 13.3 A first look at Boolean algebras
Chapter 14. Trees
Chapter 15. A Little Ramsey Theory
Chapter 16. The Delta-System Lemma
Chapter 17. Applications of the Continuum Hypothesis
- 17.1 Applications to Lebesgue measure and Baire category
- 17.2 Miscellaneous Applications of CH
Chapter 18. From the Rasiowa-Sikorski Lemma to Martin's Axiom
Chapter 19. Martin's Axiom
- 19.1 MA essentials
- 19.2 MA and cardinal invariants of the continuum
- 19.3 Ultrafilters on the set of natural numbers
Chapter 20. Hausdorff Gaps
Chapter 21. Closed Unbounded Sets and Stationary Sets
- 21.1 Closed unbounded and stationary subsets of ordinals
- 21.2 Closed unbounded and stationary subsets of $[X]^{< \kappa}$
Chapter 22. The Diamond-Principle
Chapter 23. Measurable Cardinals
Chapter 24. Elementary Submodels
- 24.1 Elementary facts about elementary submodels
- 24.2 Applications of elementary submodels in set theory
Chapter 25. Boolean algebras
Chapter 26. Appendix: Some General Topology
Index
Index of Symbols

For more detailed information, go to the list of topics.

The book can be ordered online from the AMS Bookstore. You may also write to the American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904. For credit card orders, fax (401) 331-3842 or call toll free 800-321-4267 in the U.S. and Canada, (401) 455-4000 worldwide.

Publisher's Info:

Publisher: American Mathematical Society
Distributor: American Mathematical Society
Series: Graduate Studies in Mathematics, ISSN: 1065-7339
Publication Year: 1997
ISBN: 0-8218-0528-2
Paging: approximately 240 pp.
Binding: Hardcover
List Price: $36
Institutional Member Price: $29
Individual Member Price: $29
Itemcode: GSM-JUST2