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Appalachian set theory : 2006-2012 / James Cummings, Ernest Schimmerling.

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Language:
English.
Publication date:
2012
Imprint:
New York : Cambridge University Press, 2013.
Format:
  • Book
  • xi, 419 p. : ill. ; 23 cm.
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.
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.
Contributor:
Cummings, James.
Schimmerling, Ernest.
Series:
London Mathematical Society lecture note series ; 406.
Subjects:
ISBN:
1107608503
9781107608504

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