skip to main content
Caltech

Logic Seminar

Wednesday, October 29, 2025
12:00pm to 1:00pm
Add to Cal
Online Event
Isometry groups of Polish ultrametric spaces
Riccardo Camerlo, Associate Professor, Department of Mathematics, Università di Genova,

Please note that the time is PST

A characterisation of isometry topological groups of Polish ultrametric spaces is provided. This answers in the context of Polish spaces a problem of Krasner's. A finer analysis allows also to characterise isometry topological groups of subclasses of Polish ultrametric spaces, providing a solution to questions raised by Gao and Kechris. The groups obtained involve various kinds of generalised wreath products proposed in the literature by Hall, Holland, and Malicki. This is a joint work with A. Marcone and L. Motto Ros.

For more information, please contact Math Dept. by phone at 626-395-4335 or by email at [email protected].