Descriptive Set Theory and Definable Forcing
Author:   Jindrich Zapletal
Publisher:   American Mathematical Society
Edition:   New ed.
Volume:   No. 167
ISBN:  

9780821834503


Pages:   141
Publication Date:   30 December 2003
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

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Descriptive Set Theory and Definable Forcing


Overview

The subject of the book is the relationship between definable forcing and descriptive set theory. The forcing serves as a tool for proving independence of inequalities between cardinal invariants of the continuum. The analysis of the forcing from the descriptive point of view makes it possible to prove absoluteness theorems of the type 'certain forcings are the provably best attempts to achieve consistency results of certain syntactical form' and others. There are connections to such fields as pcf theory, effective descriptive set theory, determinacy and large cardinals, Borel equivalence relations, abstract analysis, and others.

Full Product Details

Author:   Jindrich Zapletal
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   New ed.
Volume:   No. 167
Weight:   0.292kg
ISBN:  

9780821834503


ISBN 10:   0821834509
Pages:   141
Publication Date:   30 December 2003
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Introduction Definable forcing adding a single real The countable support iterations Other forcings Applications Examples of cardinal invariants The syntax of cardinal invariants Effective descriptive set theory Large cardinals.

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