Acknowledgements We acknowledge with gratitude the contributions to our book made by our colleagues, students, and friends over the span of twenty years or more. It is not possible to mention by name all those with whom we have had conversations about this material, but we express appreciation to them here. We thank Harvey Friedman, Bill Fulton, Dennis Hirschfeldt, David Leep, Raghavan Narasimhan, and Madhav Nori for their advice and assistance. We thank John Conlon, Dan Gardner, Matt Gelvin, Grant Larsen, Alex Munk, Kevin Tucker and Shaffiq Welji for their careful, critical reading of portions of the manuscript. We are grateful to Sam Altschul, David Coley, Moon Duchin, Sam Isaac- son, Sean Johnson, Tom Koberda, Calvin Lin, Chris Malon, Emily Peters, Sam Raskin, and Ryan Reich for their incisive ideas on the material in this book, as well as their perceptive reading of portions of it. We are in great debt to Mitya Boyarchenko who contributed significant ideas to the book and to John Boller and Loren Spice, both of whom also contributed ideas to the book and carefully read the final manuscript. My ultimate debt is owed to those who worked with me to produce this manuscript. The word colleague describes them appropriately. The word amanuensis could be used as a formal title, but they are much more. We ar- gued, discussed, rewrote, reaffirmed and readjusted parts of the manuscript on many occasions. These friends are Chris Jeris, Nick Ramsey, Kaj Gartz, Nick Ramsey (again), and Nick Longo. Without them, etc. Paul J. Sally, Jr. Chicago, Illinois May 2008 xiii
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