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On the Classification of Polish Metric Spaces Up to Isometry
Su Gao, University of North Texas, Denton, TX, and Alexander S. Kechris, California Institute of Technology, Pasadena, CA
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Memoirs of the American Mathematical Society
2003; 78 pp; softcover
Volume: 161
ISBN-10: 0-8218-3190-9
ISBN-13: 978-0-8218-3190-8
List Price: US$54
Individual Members: US$32.40
Institutional Members: US$43.20
Order Code: MEMO/161/766
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Readership

Graduate student and research mathematicians.

Table of Contents

  • Introduction
  • Preliminaries
  • Isometric classification of Polish metric spaces
  • Characterizing the isometry groups of Polish metric spaces
  • Some special cases
  • Isometries of locally compact spaces, I: The pseudo-connected case
  • Isometries of locally compact spaces, II: The general case
  • Isometric classification of locally compact spaces
  • Locally compact ultrametric spaces
  • Some analogies with the model theory of countable structures
  • Open problems
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