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arXiv · 1711.06155

Polish Topologies for Graph Products of Groups

Gianluca Paolini·Saharon Shelah
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Abstract

We give strong necessary conditions on the admissibility of a Polish group topology for an arbitrary graph product of groups $G(\Gamma, G_a)$, and use them to give a characterization modulo a finite set of nodes. As a corollary, we give a complete characterization in case all the factor groups $G_a$ are countable.

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Gianluca Paolini, Saharon Shelah. 2017-11-16. Polish Topologies for Graph Products of Groups. https://arxiv.org/abs/1711.06155

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