عنوان

Set theory

(Number (ISBN

3540630481

(Number (ISBN

3662224003

(Number (ISBN

366222402X

(Number (ISBN

9783540630487

(Number (ISBN

9783662224007

(Number (ISBN

9783662224021

Number

b581088

Title Proper

Set theory

General Material Designation

[Book]

First Statement of Responsibility

by Thomas Jech.

Edition Statement

2nd corr. ed

Place of Publication, Distribution, etc.

Berlin

Name of Publisher, Distributor, etc.

Springer

Date of Publication, Distribution, etc.

1997

Specific Material Designation and Extent of Item

(xiv, 634 pages)

Series Title

Perspectives in mathematical logic

Text of Note

Originally published: Academic Press, 1978 in series: Pure and applied mathematics ; vol. 79.

Text of Note

I Sets --; 1 Axiomatic Set Theory --; 2 Transitive Models of Set Theory --; II More Sets --; 3 Forcing and Generic Models --; 4 Some Applications of Forcing --; III Large Sets --; 5 Measurable Cardinals --; 6 Other Large Cardinals --; IV Sets of Reals --; 7 Descriptive Set Theory --; Historical Notes and Guide to the Bibliography --; Notation --; Name Index --; List of Corrections.

Text of Note

This introduction to modern set theory covers all aspects of its two main general areas: classical set theory including large cardinals, infinitary combinatorics, desriptive set theory, and independence proofs starting with Goedel's proof around 1938 followed by Cohen's proof in 1963, whereby Cohen's method of forcing probably had a greater influence on mathematics. The author's primary emphasis is on forcing and large cardinals (on which he has collected an enormous amount of material which had previously been available only through scattered journal articles or private communication) but there is a substantial discussion of descriptive set theory and infinitary combinatorics as well. The author's presentation is very well-organized and carefully worked out and has become a standard reference.

Set theory.

Class number

Book number

by Thomas Jech.

Thomas J Jech

Electronic name

[Book]

Y