Polish topologies for graph products of groups

by Paolini and Shelah. [PaSh:1121]

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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