Overview

Over the last 20 years, the theory of Borel equivalence relations and related topics have been very active areas of research in set theory and have important interactions with other fields of mathematics, like ergodic theory and topological dynamics, group theory, combinatorics, functional analysis, and model theory. The book presents, for the first time in mathematical literature, all major aspects of this theory and its applications.

Full Product Details

Author:   Vladimir Kanovei
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 44
Weight:   0.468kg
ISBN:  

9780821844533

ISBN 10:   0821844539
Pages:   240
Publication Date:   30 November 2008
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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 Descriptive set theoretic background Some theorems of descriptive set theory Borel ideals Introduction to equivalence relations Borel reducibility of equivalence relations ""Elementary"" results Introduction to countable equivalence relations Hyperfinite equivalence relations More on countable equivalence relations The 1st and 2nd dichotomy theorems Ideal ${\mathscr I}_1$ and the equivalence relation ${\mathsf E}_1$ Actions of the infinite symmetric group Turbulent groups actions The ideal $\mathscr{I}_3$ and the equivalence relation $\mathsf{E}_3$ Summable equivalence relations $\mathsf{c}_0$-equalities Pinned equivalence relations Reduction of Borel equivalence relations to Borel ideals On Cohen and Gandy-Harrington forcing over countable models Bibliography Index."

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions