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Appalachian set theory : 2006-2012
Title
Appalachian set theory : 2006-2012 / James Cummings, Ernest Schimmerling.
ISBN
1107608503
9781107608504
Published
New York : Cambridge University Press, 2013.
Physical Description
xi, 419 p. : ill. ; 23 cm.
Summary
This volume takes its name from a popular series of intensive mathematics workshops hosted at institutions in Appalachia and surrounding areas. At these meetings, internationally prominent set theorists give one-day lectures that focus on important new directions, methods, tools, and results so that non-experts can begin to master these and incorporate them into their own research. Each chapter in this volume was written by the workshop leaders in collaboration with select student participants, and together they represent most of the meetings from the period 2006-2012. Topics covered include forcing and large cardinals, descriptive set theory, and applications of set theoretic ideas in group theory and analysis, making this volume essential readings for a wide range of researchers and graduate students.
Format
Books
Language
English
Added to Catalog
February 14, 2013
Series
London Mathematical Society lecture note series ; 406
Bibliography
Includes bibliographical references.
Contents
An introduction to Pmax forcing
Countable Borel equivalence relations
Set theory and operator algebras
A tutorial on set mapping reflection
An introduction to hyperlinear and sofic groups
Aronszajn trees and the SCH
Iterated forcing and the Continuum Hypothesis
Short extender forcing
The complexity of classification problems in ergodic theory
On the strengths and weaknesses of weak squares
Proper forcing remastered
Set theory and von Neumann algebras
The HOD dichotomy.
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