集合論近年來發(fā)展迅速，特別是迫力法、內(nèi)模型、大基數(shù)和描述集合論的發(fā)展尤為突出。本書是一本經(jīng)典圖書，內(nèi)容囊括了集合論的各個分支。全書分為三部分：第一部分綜述了集合論中基本的公理、概念和模型，第二部分深入介紹集合論高等問題，第三部分是集合論的專題介紹。本書各章有習題，即是一部教科書，也是從事數(shù)理邏輯和集合論等領(lǐng)域研究人員的案頭必備參考書。
Part Ⅰ Basic Set Theory
1.Axioms of Set Theory
2.Ordinal Numbers
3.Cardinal Numbers
4.Real Numbers
5.The Axiom of Choice and Cardinal Arithmetic
6.The Axiom of Regularity
7.Filters,Ultrafilters and Boolean Algebras
8.Stationary Sets
9.Combinatorial Set Theory
10.Measurable Cardinals
11.Borel and Analytic Sets
12.Models of Set Theory
Part Ⅱ Advanced Set Theory
13.Constructible Sets
14.Forcing
15.Applications of Forcing
16.Iterated Forcing and Martins Axiom
17.Large Cardinals
18.Large Cardinals and L
19.Iterated Ultrapowers and L[U]
20.Very Large Cardinals
……
Part Ⅲ Selected Topics
Bibliography
Notation
Name Index
Index
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