Logic Seminar

Isometry groups of Polish ultrametric spaces

Riccardo Camerlo, Associate Professor, Department of Mathematics, Università di Genova,

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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.

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