On Dense Subgroups of Homeo(I)

Published 5 Dec 2013 in math.GR, math.DS, and math.GT | (1312.1654v1)

Abstract: We prove that a dense subgroup of $\mathrm{Homeo}{+}(I)$ is not elementary amenable and (if it is finitely generated) has infinite girth. We also show that the topological group $\mathrm{Homeo}{+}(I)$ does not satisfy the Stability of the Generators Property.

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Authors (1)

Azer Akhmedov

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