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arXiv · 1702.03787

Universality of group embeddability

Filippo Calderoni·Luca Motto Ros
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Abstract

Working in the framework of Borel reducibility, we study various notions of embeddability between groups. We prove that the embeddability between countable groups, the topological embeddability between (discrete) Polish groups, and the isometric embeddability between separable groups with a bounded bi-invariant complete metric are all invariantly universal analytic quasi-orders. This strengthens some results from [Wil14] and [FLR09].

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Filippo Calderoni, Luca Motto Ros. 2017-02-13. Universality of group embeddability. https://doi.org/10.1090/proc/13857

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