The rational Gurarii space and its linear isometry group
Logic
2025-12-03 v2 Functional Analysis
Abstract
We show that the classes of partial isometries in finite-dimensional polyhedral spaces and in finite-dimensional rational polyhedral spaces do not have the weak amalgamation property. This implies that the linear isometry group of the rational Gurarii space does not have a comeager conjugacy class. Our methods demonstrate also that the classes of finite-dimensional polyhedral spaces and of finite-dimensional rational polyhedral spaces fail to have the Hrushovski property.
Cite
@article{arxiv.2501.17730,
title = {The rational Gurarii space and its linear isometry group},
author = {Ondřej Kurka and Maciej Malicki},
journal= {arXiv preprint arXiv:2501.17730},
year = {2025}
}