The rational Gurarii space and its linear isometry group
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 also demonstrate that the classes of finite-dimensional polyhedral spaces and of finite-dimensional rational polyhedral spaces fail to have the Hrushovski property.
Fields of Study & Subjects
Mathematics and Applications
Advanced Numerical Analysis Techniques
Advanced Topics in Algebra
Publication details
- Journal / source
- Studia Mathematica
- Publisher
- Institute of Mathematics, Polish Academy of Sciences
- Publication date
- 8 June 2026
- Language
- EN