Series: Penn State Logic Seminar Date: Tuesday, February 10, 2004 Time: 2:30 - 3:45 PM Place: 307 Boucke Building Speaker: John Clemens, Penn State, Mathematics Title: Isometry of Polish Metric Spaces,part 1 Abstract: I will discuss the problem of classifying seperable complete metric spaces up to isometry. Using descriptive set theory, I will show that this problem is very complicated, in the sense that definable complete invariants for isometry can not be essentially simpler than the isometry class. I will also discuss the classification problem for particular types of metric spaces.