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Halbeisen, Lorenz J.

Combinatorial Set Theory

Halbeisen, Lorenz J. - Combinatorial Set Theory, ebook

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ISBN: 9783319602318
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Table of contents

Part I. Preliminary

1. The Setting
Lorenz J. Halbeisen

2. First-Order Logic in a Nutshell
Lorenz J. Halbeisen

3. Axioms of Set Theory
Lorenz J. Halbeisen

Part II. Topics in Combinatorial Set Theory

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

5. Cardinal Relations in ZF Only
Lorenz J. Halbeisen

6. Forms of Choice
Lorenz J. Halbeisen

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

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

9. Thirteen Cardinals and Their Relations
Lorenz J. Halbeisen

10. The Shattering Number Revisited
Lorenz J. Halbeisen

11. Happy Families and Their Relatives
Lorenz J. Halbeisen

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

Part III. Part III

13. The Idea of Forcing
Lorenz J. Halbeisen

14. Martin’s Axiom
Lorenz J. Halbeisen

15. The Notion of Forcing
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



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Keywords: Mathematics, Mathematical Logic and Foundations, Combinatorics

Author(s)
Publisher
Springer
Publication year
2017
Language
en
Edition
2nd ed. 2017
Series
Springer Monographs in Mathematics
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783319602318
Printed ISBN
978-3-319-60230-1

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