Notes On Forcing Axioms
Author:   Stevo Todorcevic (Univ Of Toronto, Canada) ,  Chi Tat Chong (Nus, S'pore) ,  Qi Feng (Chinese Academy Of Sciences, China) ,  Theodore A Slaman (Univ Of California, Berkeley, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Volume:   26
ISBN:  

9789814571579


Pages:   236
Publication Date:   19 February 2014
Format:   Hardback
Availability:   In Print   Availability explained
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Notes On Forcing Axioms


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Overview

In the mathematical practice, the Baire category method is a tool for establishing the existence of a rich array of generic structures. However, in mathematics, the Baire category method is also behind a number of fundamental results such as the Open Mapping Theorem or the Banach-Steinhaus Boundedness Principle. This volume brings the Baire category method to another level of sophistication via the internal version of the set-theoretic forcing technique. It is the first systematic account of applications of the higher forcing axioms with the stress on the technique of building forcing notions rather than on the relationship between different forcing axioms or their consistency strengths.

Full Product Details

Author:   Stevo Todorcevic (Univ Of Toronto, Canada) ,  Chi Tat Chong (Nus, S'pore) ,  Qi Feng (Chinese Academy Of Sciences, China) ,  Theodore A Slaman (Univ Of California, Berkeley, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   26
Dimensions:   Width: 16.00cm , Height: 2.30cm , Length: 23.10cm
Weight:   0.567kg
ISBN:  

9789814571579


ISBN 10:   9814571571
Pages:   236
Publication Date:   19 February 2014
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

The Baire Category Theorem and the Baire Category Numbers; Coding into the Reals; Descriptive Set-Theoretic Consequences; Measure-Theoretic Consequences; Variations on the Souslin Hypothesis; The S- and L-Space Problems; The Side-Condition Method; Ideal Dichotomies; Coherent and Lipschitz Trees; Applications to the S-Space Problem and the Von Neumann Problem; Biorthogonal Systems; Structure of Compact Spaces; Ramsey Theory on Ordinals; Five Cofinal Types; Five Linear Orderings; mm and Cardinal Arithmetic; Reflection Principles; Appendices: Basic Notions; Preserving Stationary Sets; Historical and Other Comments.

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