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Halbeisen, Lorenz J.

Combinatorial Set Theory

Halbeisen, Lorenz J. - Combinatorial Set Theory, ebook

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ISBN: 9781447121732
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Table of contents

1. The Setting
Lorenz J. Halbeisen

2. Overture: Ramsey’s Theorem
Lorenz J. Halbeisen

3. The Axioms of Zermelo–Fraenkel Set Theory
Lorenz J. Halbeisen

4. Cardinal Relations in ZF Only
Lorenz J. Halbeisen

5. The Axiom of Choice
Lorenz J. Halbeisen

6. How to Make Two Balls from One
Lorenz J. Halbeisen

7. Models of Set Theory with Atoms
Lorenz J. Halbeisen

8. Twelve Cardinals and Their Relations
Lorenz J. Halbeisen

9. The Shattering Number Revisited
Lorenz J. Halbeisen

10. Happy Families and Their Relatives
Lorenz J. Halbeisen

11. Coda: A Dual Form of Ramsey’s Theorem
Lorenz J. Halbeisen

12. The Idea of Forcing
Lorenz J. Halbeisen

13. Martin’s Axiom
Lorenz J. Halbeisen

14. The Notion of Forcing
Lorenz J. Halbeisen

15. Models of Finite Fragments of Set Theory
Lorenz J. Halbeisen

16. Proving Unprovability
Lorenz J. Halbeisen

17. Models in Which AC Fails
Lorenz J. Halbeisen

18. Combining Forcing Notions
Lorenz J. Halbeisen

19. Models in Which p = c

Lorenz J. Halbeisen

20. Properties of Forcing Extensions
Lorenz J. Halbeisen

21. Cohen Forcing Revisited
Lorenz J. Halbeisen

22. Silver-Like Forcing Notions
Lorenz J. Halbeisen

23. Miller Forcing
Lorenz J. Halbeisen

24. Mathias Forcing
Lorenz J. Halbeisen

25. On the Existence of Ramsey Ultrafilters
Lorenz J. Halbeisen

26. Combinatorial Properties of Sets of Partitions
Lorenz J. Halbeisen

27. Suite
Lorenz J. Halbeisen

Keywords: Mathematics, Mathematical Logic and Foundations

Author(s)
Publisher
Springer
Publication year
2012
Language
en
Edition
1
Series
Springer Monographs in Mathematics
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9781447121732

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