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

Prelegent(ci)

Tomasz Cieśla

Afiliacja

Lancaster University

Termin

11 maja 2022 16:15

Pokój

p. 4420

Seminarium

Seminarium „Topologia i teoria mnogości”

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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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