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arxiv: 1603.05330 · v1 · pith:A5YZJWZDnew · submitted 2016-03-17 · 🧮 math.GR · math.DS· math.GN

Groups not acting on compact metric spaces by homeomorphisms

classification 🧮 math.GR math.DSmath.GN
keywords compactgroupshomeomorphismsmetricactingdirectembedgroup
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We show that the direct sum of uncountably many non-Abelian groups does not embed into the group of homeomorphisms of a compact metric space.

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