Combinatorial Set Theory With a Gentle Introduction to Forcing /
This book, now in a thoroughly revised second edition, provides a comprehensive and accessible introduction to modern set theory. Following an overview of basic notions in combinatorics and first-order logic, the author outlines the main topics of classical set theory in the second part, including R...
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
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Έκδοση: | 2nd ed. 2017. |
Σειρά: | Springer Monographs in Mathematics,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- The Setting
- First-Order Logic in a Nutshell
- Axioms of Set Theory
- Overture: Ramsey's Theorem
- Cardinal Relations in ZF Only
- Forms of Choice
- How to Make Two Balls from One
- Models of Set Theory with Atoms
- Thirteen Cardinals and Their Relations
- The Shattering Number Revisited
- Happy Families and Their Relatives
- Coda: A Dual Form of Ramsey’s Theorem
- The Idea of Forcing
- Martin's Axiom
- The Notion of Forcing
- Proving Unprovability
- Models in Which AC Fails
- Combining Forcing Notions
- Models in Which p=c
- Suslin’s Problem
- Properties of Forcing Extensions
- Cohen Forcing Revisited
- Sacks Forcing
- Silver-Like Forcing Notions
- Miller Forcing
- Mathias Forcing
- How Many Ramsey Ultrafilters Exist?
- Combinatorial Properties of Sets of Partitions
- Suite.