On random compact sets, equidecomposition and domains of expanison in R^3

Speaker(s)

Tomasz Cieśla

Affiliation

Lancaster University

Date

May 11, 2022, 4:15 p.m.

Room

room 4420

Seminar

Topology and Set Theory Seminar

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We describe a certain model of random compact sets. We use it to construct a pair of compact sets A and B in R^3 of the same Lebesgue measure such that A can be covered by finitely many translates of B and vice versa, yet A and B are not equidecomposable. We also give the first example of a compact subset of R^3 of positive measure which is not a domain of expansion. This is joint work with Łukasz Grabowski.

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