**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

**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.

(

**12231**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.

(

**18069**views)

**Sets, Groups and Knots**

by

**Curtis T. McMullen**-

**Harvard University**

Introduction to conceptual and axiomatic mathematics, the writing of proofs, mathematical culture, with sets, groups and knots as topics. From the table of contents: Introduction; Set Theory; Group Theory; Knot Theory; Summary.

(

**8348**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.

(

**9628**views)