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Combinatorial Set Theory

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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
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Title
Combinatorial Set Theory
Published by
Springer Science & Business Media, January 2012
DOI 10.1007/978-1-4471-2173-2
ISBNs
978-1-4471-2173-2, 978-1-4471-2172-5
Authors

Lorenz J. Halbeisen, Halbeisen, Lorenz J.

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 14 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 14 100%

Demographic breakdown

Readers by professional status Count As %
Unspecified 1 7%
Unknown 13 93%
Readers by discipline Count As %
Unspecified 1 7%
Unknown 13 93%