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Appalachian Set Theory

Appalachian Set Theory
2006–2012

$72.00 ( ) USD

Part of London Mathematical Society Lecture Note Series

Paul B. Larson, Peter Lumsdaine, Yimu Yin, Simon Thomas, Scott Schneider, Ilijas Farah, Eric Wofsey, Justin Moore, David Milovich, Vladimir G. Pestov, Aleksandra Kwiatkowska, Itay Neeman, Spencer Unger, Todd Eisworth, Justin Tatch Moore, Moti Gitik, Alexander S. Kechris, Robin D. Tucker-Drob, Menachem Magidor, Chris Lambie-Hanson, Boban Veličković, Giorgio Venturi, Asger Törnquist, Martino Lupini, W. Hugh Woodin, Jacob Davis, Daniel Rodríguez
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  • Date Published: March 2013
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781139848596

$ 72.00 USD ( )
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About the Authors
  • 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 reading for a wide range of researchers and graduate students.

    • Chapters are based on workshops by leading experts in set theory
    • Each chapter focuses on an applicable method, a seminal paper, a new direction, or a significant unpublished result
    • Emphasis on teaching specifics so the information imparted to the reader is concrete and useful
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    Product details

    • Date Published: March 2013
    • format: Adobe eBook Reader
    • isbn: 9781139848596
    • contains: 10 b/w illus. 50 exercises
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Contributors
    Introduction
    1. An introduction to Pmax forcing Paul B. Larson, Peter Lumsdaine and Yimu Yin
    2. Countable Borel equivalence relations Simon Thomas and Scott Schneider
    3. Set theory and operator algebras Ilijas Farah and Eric Wofsey
    4. Set mapping reflection Justin Moore and David Milovich
    5. An introduction to hyperlinear and sofic groups Vladimir G. Pestov and Aleksandra Kwiatkowska
    6. Aronszajn trees and the SCH Itay Neeman and Spencer Unger
    7. Iterated forcing and the continuum hypothesis Todd Eisworth, Justin Tatch Moore and David Milovich
    8. Short extender forcing Moti Gitik and Spencer Unger
    9. The complexity of classification problems in ergodic theory Alexander S. Kechris and Robin D. Tucker-Drob
    10. On the strengths and weaknesses of weak squares Menachem Magidor and Chris Lambie-Hanson
    11. Proper forcing remastered Boban Veličković and Giorgio Venturi
    12. Set theory and von Neumann algebras Asger Törnquist and Martino Lupini
    13. The HOD dichotomy W. Hugh Woodin, Jacob Davis and Daniel Rodríguez.

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    Appalachian Set Theory

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  • Editors

    James Cummings, Carnegie Mellon University, Pennsylvania
    James Cummings is a Professor of Mathematical Sciences at Carnegie Mellon University in Pittsburgh, Pennsylvania.

    Ernest Schimmerling, Carnegie Mellon University, Pennsylvania
    Ernest Schimmerling is a Professor of Mathematical Sciences at Carnegie Mellon University in Pittsburgh, Pennsylvania.

    Contributors

    Paul B. Larson, Peter Lumsdaine, Yimu Yin, Simon Thomas, Scott Schneider, Ilijas Farah, Eric Wofsey, Justin Moore, David Milovich, Vladimir G. Pestov, Aleksandra Kwiatkowska, Itay Neeman, Spencer Unger, Todd Eisworth, Justin Tatch Moore, Moti Gitik, Alexander S. Kechris, Robin D. Tucker-Drob, Menachem Magidor, Chris Lambie-Hanson, Boban Veličković, Giorgio Venturi, Asger Törnquist, Martino Lupini, W. Hugh Woodin, Jacob Davis, Daniel Rodríguez

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