Polish Topologies for Graph Products of Groups
Logic
2018-09-26 v2
Abstract
We give strong necessary conditions on the admissibility of a Polish group topology for an arbitrary graph product of groups , 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 are countable.
Keywords
Cite
@article{arxiv.1711.06155,
title = {Polish Topologies for Graph Products of Groups},
author = {Gianluca Paolini and Saharon Shelah},
journal= {arXiv preprint arXiv:1711.06155},
year = {2018}
}