高阶无限(第二版 英文版)
出版时间:2011年版
内容简介
My first thanks goes to Gert Miiller who initially suggested this project and persisted in its encouragement. Thanks also to Thomas Orowan who went through many iterations of the difficult typing in the early stages. James Baumgartner,Howard Becket, and Jose Ruiz read through large portions of the text and offered extensive suggestions.
目录
Introduction
0.Preliminaries
Chapter l.Beginnings
1.Inaccessibilit
2.Measurability
3.Constructibility
4.Compactness
5.Elementary Embeddings
6.Indescribability
Chapter 2.Partition Properties
7.Partitions and Trees
8.Partitions and Structures
9.Indiscernibles and 0#
Chapter 3.Forcing and Sets of Reals
10.Development of Forcing
11.Lebesgue Measurability
12.Descriptive Set Theory
13.Ⅱ1/1{Sets and∑1/2;Sets
14.∑1/2Sets and Sharps
15.Sharps and∑1/3;Sets
Chapter 4.Aspects of Measurability
16.Saturated Ideals Ⅰ
17.Saturated Ideals Ⅱ
18.Prikry Forcin9
19.Iterated Ultrapowers
……
Subject Index