**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

**Abstract Set Theory**

by

**Thoralf A. Skolem**-

**University of Notre Dame**

The book contains a series of lectures on abstract set theory given at the University of Notre Dame. After some historical remarks the chief ideas of the naive set theory are explained. Then the axiomatic theory of Zermelo-Fraenkel is developed.

(

**11584**views)

**An Introduction to Set Theory**

by

**William A. R. Weiss**-

**University of Toronto**

These notes for a graduate course in set theory cover the axioms of set theory, the natural numbers, the ordinal numbers, relations and orderings, cardinality, the real numbers, the universe, reflection, elementary submodels, and constructibility.

(

**17133**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.

(

**8594**views)

**Elementary Set Theory with a Universal Set**

by

**Randall Holmes**

From the table of contents: The Set Concept; Boolean Operations on Sets; Building Finite Structures; The Theory of Relations; Sentences and Sets; Stratified Comprehension; Philosophical Interlude; Equivalence and Order; Introducing Functions; etc.

(

**10225**views)