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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 First-Order Logic in a Nutshell
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    Chapter 3 Axioms of Set Theory
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    Chapter 4 Overture: Ramsey’s Theorem
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    Chapter 5 Cardinal Relations in ZF Only
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    Chapter 6 Forms of Choice
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    Chapter 7 How to Make Two Balls from One
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    Chapter 8 Models of Set Theory with Atoms
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    Chapter 9 Thirteen Cardinals and Their Relations
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    Chapter 10 The Shattering Number Revisited
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    Chapter 11 Happy Families and Their Relatives
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    Chapter 12 Coda: A Dual Form of Ramsey’s Theorem
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    Chapter 13 The Idea of Forcing
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    Chapter 14 Martin’s Axiom
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    Chapter 15 The Notion of Forcing
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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 𝔭 = 𝔠 $$\mathfrak{p} = \mathfrak{c}$$
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    Chapter 20 Suslin’s Problem
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    Chapter 21 Properties of Forcing Extensions
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    Chapter 22 Cohen Forcing Revisited
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    Chapter 23 Sacks Forcing
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    Chapter 24 Silver-Like Forcing Notions
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    Chapter 25 Miller Forcing
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    Chapter 26 Mathias Forcing
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    Chapter 27 How Many Ramsey Ultrafilters Exist?
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    Chapter 28 Combinatorial Properties of Sets of Partitions
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    Chapter 29 Suite
Attention for Chapter 3: Axioms of Set Theory
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Citations

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Chapter title
Axioms of Set Theory
Chapter number 3
Book title
Combinatorial Set Theory
Published by
Springer, Cham, January 2017
DOI 10.1007/978-3-319-60231-8_3
Book ISBNs
978-3-31-960230-1, 978-3-31-960231-8
Authors

Lorenz J. Halbeisen, Halbeisen, Lorenz J.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 28 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Germany 1 4%
Unknown 27 96%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 8 29%
Professor > Associate Professor 3 11%
Student > Bachelor 3 11%
Researcher 3 11%
Professor 2 7%
Other 5 18%
Unknown 4 14%
Readers by discipline Count As %
Computer Science 8 29%
Philosophy 6 21%
Mathematics 4 14%
Physics and Astronomy 2 7%
Arts and Humanities 1 4%
Other 4 14%
Unknown 3 11%