Memoirs of the American Mathematical Society 2003; 78 pp; softcover Volume: 161 ISBN10: 0821831909 ISBN13: 9780821831908 List Price: US$54 Individual Members: US$32.40 Institutional Members: US$43.20 Order Code: MEMO/161/766
 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 pseudoconnected 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
