**Descriptive Set Theory**

by Yiannis N. Moschovakis

**Publisher**: American Mathematical Society 2009**ISBN/ASIN**: 0821848135**ISBN-13**: 9780821848135**Number of pages**: 516

**Description**:

Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined, and so can be expected to have special properties not enjoyed by arbitrary pointsets. This monograph develops Descriptive Set Theory systematically, from its classical roots to the modern "effective" theory and the consequences of strong hypotheses. The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results relating large cardinals and determinacy or allowing applications of Descriptive Set Theory to classical mathematics.

Download or read it online for free here:

**Download link**

(3MB, PDF)

## Similar books

**The Continuum and Other Types of Serial Order**

by

**Edward V. Huntington**-

**Dover Publications**

This classic of mathematics presents the best systematic elementary account of the modern theory of the continuum as a type of serial order. Based on the Dedekind-Cantor ordinal theory, it requires no knowledge of higher mathematics.

(

**7494**views)

**Proof, Sets, and Logic**

by

**M. Randall Holmes**-

**Boise State University**

This textbook is intended to communicate something about proof, sets, and logic. It is about the foundations of mathematics, a subject which results when mathematicians examine the subject matter and the practice of their own subject very carefully.

(

**10272**views)

**Set Theory**

by

**Gary Hardegree**-

**UMass Amherst**

From the table of contents: Basic material on set theory - Overview / Summary, Basic Concepts, Relations, Functions, Natural Numbers, Cardinal Numbers; Rules for Derivations; Formal Languages; Mathematical Induction; Brief History of Numeration.

(

**9662**views)

**Axiomatic Set Theory**

by

**Michael Meyling**

This document contains the mathematical foundation of set theory. Goal is the presentation of elementary results which are needed in other disciplines. Although the presentation is axiomatic the results shall match the mathematical usage.

(

**5762**views)