Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Descriptive Set Theory and Definable Forcing
 
Jindřich Zapletal University of Florida, Gainesville, FL
Descriptive Set Theory and Definable Forcing
eBook ISBN:  978-1-4704-0391-1
Product Code:  MEMO/167/793.E
List Price: $68.00
MAA Member Price: $61.20
AMS Member Price: $40.80
Descriptive Set Theory and Definable Forcing
Click above image for expanded view
Descriptive Set Theory and Definable Forcing
Jindřich Zapletal University of Florida, Gainesville, FL
eBook ISBN:  978-1-4704-0391-1
Product Code:  MEMO/167/793.E
List Price: $68.00
MAA Member Price: $61.20
AMS Member Price: $40.80
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1672004; 141 pp
    MSC: Primary 03;

    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.

    Readership

    Graduate students and research mathematicians interested in mathematical logic and foundations.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Definable forcing adding a single real
    • 3. The countable support iteration
    • 4. Other forcings
    • 5. Applications
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1672004; 141 pp
MSC: Primary 03;

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.

Readership

Graduate students and research mathematicians interested in mathematical logic and foundations.

  • Chapters
  • 1. Introduction
  • 2. Definable forcing adding a single real
  • 3. The countable support iteration
  • 4. Other forcings
  • 5. Applications
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.