2013/10/01 by Michal Doucha, Doucha, Michal
Social Sciences · #Language and Culture #Polish Historical and Cultural Studies
paper · pdf · doi:10.48550/arxiv.1310.0386
We use Fra" iss' e theoretic methods to construct a universal and ultrahomogeneous abelian separable metric group. We show that such a group is a universal abelian Polish group, thus we provide another proof of a result already discovered by Shkarin. We then construct universal and ultrahomogeneous abelian periodic metric groups with bounded exponents; it follows that these groups are also universal objects for the corresponding classes of abelian Polish groups.