47 citations · 181 across the 30 of their papers we have counts for
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Generic norms and metrics on countable abelian groups
Michal Doucha
For a countable abelian group we investigate generic properties of the space of all invariant metrics on . We prove that for every such an unbounded group , i.e. group wh…
Universal and homogeneous structures on the Urysohn and Gurarij spaces
Michal Doucha
Using Fra\" iss\' e theoretic methods we enrich the Urysohn universal space by universal and homogeneous closed relations, retractions, closed subsets of the product of the Urysohn…
Non-abelian group structure on the Urysohn space
Michal Doucha
Following the continuing interest in the Urysohn space and, more specifically, the recent problem area of finding and comparing group structures on the Urysohn space we prove that…
Metrically universal abelian groups
Michal Doucha
We give a positive answer to the question of Shkarin (\emph{On universal abelian topological groups}, Mat. Sb. 190 (1999), no. 7, 127-144) whether there exists a metrically univers…