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Fast Track to Forcing

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Author(s): Mirna Džamonja
Series: London Mathematical Society Student Texts 98
Publisher: CUP
Year: 2020

Language: English
Pages: 147

Contents
Preface
Part I - Let’s Be Independent
1 Introduction
2 Axiomatic Systems
3 Zermelo–Fraenkel Axioms and the Axiom of
Choice
4 Well Orderings and Ordinals
5 Cardinals
6 Models and Independence
7 Some Class Models of ZFC
8 Forcing
9 Violating CH
Part II - What is New in Set Theory
10 Introduction to Part Two
11 Classical Extensions
12 Iterated Forcing and Martin’s Axiom
13 Some More Large Cardinals
14 Limitations of Martin’s Axiom and Countable
Supports
15 Proper Forcing and PFA
16 ℵ2 and other Successors of Regulars
17 Singular Cardinal Hypothesis and Some PCF
18 Forcing at Singular Cardinals and Their
Successors
References
Index