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19.22 (2018)

Open

Let $\mathcal{S}$ denote the class of nondiscrete compactly generated, topologically simple totally disconnected locally compact groups. Two topological groups are called locally isomorphic if they contain isomorphic open subgroups. Is the number of local isomorphism classes of groups in $\mathcal{S}$ uncountable?

Contributor: P.-E. Caprace

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