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Combinatorial Set Theory

Overview of attention for book
Cover of 'Combinatorial Set Theory'

Table of Contents

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    Book Overview
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    Chapter 1 The Setting
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    Chapter 2 Overture: Ramsey’s Theorem
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    Chapter 3 The Axioms of Zermelo–Fraenkel Set Theory
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    Chapter 4 Cardinal Relations in ZF Only
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    Chapter 5 The Axiom of Choice
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    Chapter 6 How to Make Two Balls from One
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    Chapter 7 Models of Set Theory with Atoms
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    Chapter 8 Twelve Cardinals and Their Relations
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    Chapter 9 The Shattering Number Revisited
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    Chapter 10 Happy Families and Their Relatives
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    Chapter 11 Coda: A Dual Form of Ramsey’s Theorem
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    Chapter 12 The Idea of Forcing
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    Chapter 13 Martin’s Axiom
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    Chapter 14 The Notion of Forcing
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    Chapter 15 Models of Finite Fragments of Set Theory
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    Chapter 16 Proving Unprovability
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    Chapter 17 Models in Which AC Fails
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    Chapter 18 Combining Forcing Notions
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    Chapter 19 Models in Which $\mathfrak {p}=\mathfrak {c}$
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    Chapter 20 Properties of Forcing Extensions
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    Chapter 21 Cohen Forcing Revisited
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    Chapter 22 Silver-Like Forcing Notions
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    Chapter 23 Miller Forcing
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    Chapter 24 Mathias Forcing
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    Chapter 25 On the Existence of Ramsey Ultrafilters
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    Chapter 26 Combinatorial Properties of Sets of Partitions
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    Chapter 27 Suite
Attention for Chapter 4: Cardinal Relations in ZF Only
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Chapter title
Cardinal Relations in ZF Only
Chapter number 4
Book title
Combinatorial Set Theory
Published by
Springer, London, January 2012
DOI 10.1007/978-1-4471-2173-2_4
Book ISBNs
978-1-4471-2172-5, 978-1-4471-2173-2
Authors

Lorenz J. Halbeisen, Halbeisen, Lorenz J.

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