# Sh:1121

• Paolini, G., & Shelah, S. (2019). Polish topologies for graph products of groups. J. Lond. Math. Soc. (2), 100(2), 383–403.
• 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.
• published version (21p)
Bib entry
@article{Sh:1121,
author = {Paolini, Gianluca and Shelah, Saharon},
title = {{Polish topologies for graph products of groups}},
journal = {J. Lond. Math. Soc. (2)},
fjournal = {Journal of the London Mathematical Society. Second Series},
volume = {100},
number = {2},
year = {2019},
pages = {383--403},
issn = {0024-6107},
mrnumber = {4017147},
mrclass = {03E15 (20B27 20F65)},
doi = {10.1112/jlms.12219},
note = {\href{https://arxiv.org/abs/1711.06155}{arXiv: 1711.06155}},
arxiv_number = {1711.06155}
}