**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

**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.

(

**13554**views)

**Notes on Set Theory**

by

**Michael Makkai**-

**McGill University**

Contents: Sets and classes; The universe of pure sets; Further principles of set-construction; Natural numbers and ordinals; Well-founded Relations and recursion; Indexing by ordinals and the axiom of choice; Well-orderings; Zorn's lema; etc.

(

**12740**views)

**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.

(

**12955**views)

**Sets, Relations, Functions**

by

**Ivo Düntsch, Günther Gediga**-

**Methodos Publishers (UK)**

Introduction to the set theoretic tools for anyone who comes into contact with modern Mathematics. The intended audience are students of any subject or practitioners who need some knowledge of set operations and related topics.

(

**17505**views)