John D. Clemens
Publications, Preprints, and Slides

Publications

• Descriptive set theory, equivalence relations, and classification problems in analysis, Ph.D. Thesis, UC Berkeley (2001): Postscript or PDF or DVI
• (with S. Gao and A.S. Kechris) Polish metric spaces: Their classification and isometry groups, Bull. Symb. Logic 7(3) (2001), 361-375.
• Classifying Borel automorphisms, Journal of Symbolic Logic, 72(4) (2007), 1081-1092.
  preprint: PDF
• Weakly pointed trees and partial injections, Journal of Symbolic Logic, 73(1) (2008), 363-368.
  preprint: PDF

Papers accepted for publication

• Isomorphism of subshifts is a universal countable Borel equivalence relation, accepted to the Israel Journal of Mathematics.
  preprint: PDF
• The set of distances in a Polish metric space, accepted to Fundamenta Mathematicae.
  preprint: PDF
• Isometry of Polish Metric Spaces, accepted to Annals of Pure and Applied Logic.
  preprint: PDF
• Isomorphism of homogeneous structures, accepted to Notre Dame Journal of Formal Logic.
  preprint: PDF

Papers submitted for publication

• Generating equivalence relations by homeomorphisms, preprint: PDF
• Complemented sets, difference sets, and weakly wandering sequences, preprint: PDF
• Equivalence relations which reduce all Borel equivalence relations, preprint: PDF
• Isometry of Polish metric spaces with a fixed set of distances, preprint: PDF
• (with C. Conley and B. Miller) Borel homomorphisms of smooth sigma-ideals, preprint: PDF
• (with A. Caicedo, C. Conley, and B. Miller) Defining small sets from kappa-cc families of subsets, preprint: PDF

Slides from recent talks

• Penn State, April 2003 (Classifying Borel Automorphisms): Postscript or DVI
• BEST, March 2004 (Distance Sets in Metric Spaces): Postscript or DVI
• ASL at CMU, May 2004 (Complemented Sets): Postscript or PDF
• North Texas Logic Conference, October 2004 (Generating E_0): Postscript or PDF
• ASL Annual Meeting at Stanford, March 2005 (Generating equivalence relations by homeomorphisms): PDF (revised slides)
• AMS Special session on Large Cardinals in Set Theory at Miami University, March 2007 (Weakly pointed trees and partial injections): PDF
• UCLA Logic Colloquium, May 2007 (Isomorphism of subshifts is a universal countable Borel equivalence relation): PDF
• Workshop in Dynamical Systems and Related Fields, Penn State University, October 2007 (Isomorphism of subshifts and countable Borel equivalence relations): PDF
• SEALS, University of Florida, March 2008 (Complexity of the isomorphism problem for subshifts): PDF

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