Logo

Descriptive Set Theory by Yiannis N. Moschovakis

Large book cover: Descriptive Set Theory

Descriptive Set Theory
by

Publisher: American Mathematical Society
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.

Home page url

Download or read it online for free here:
Download link
(3MB, PDF)

Similar books

Book cover: Axiomatic Set Theory IAxiomatic Set Theory I
by
From the table of contents: Learning to Speak; The Axioms of Set Theory; Orders and Ordinals; Cardinal Numbers; The Axiom of Regularity; Some Consistency Results; Goedel's Constructible Universe L; Independence of AC from ZFU; Forcing.
(4784 views)
Book cover: Sets, Relations, FunctionsSets, Relations, Functions
by - 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.
(12336 views)
Book cover: Notes on Set TheoryNotes on Set Theory
by - 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.
(8196 views)
Book cover: The Continuum and Other Types of Serial OrderThe Continuum and Other Types of Serial Order
by - 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.
(6615 views)