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math.LO2019
Measurable Hall's theorem for actions of abelian groups
Tomasz Cieśla, Marcin Sabok
We prove a measurable version of the Hall marriage theorem for actions of finitely generated abelian groups. In particular, it implies that for free measure-preserving actions of s…
math.LO2018
Completeness of the homeomorphism relation of locally connected continua
Tomasz Cieśla
In this paper we prove that the homeomorphism relation of locally connected continua is a complete orbit equivalence relation. This answers a question posed by Chang and Gao.