Subgroups of isometries of Urysohn-Katetov metric spaces of uncountable density

Brice R. Mbombo, Vladimir G. Pestov

According to Kat\vetov (1988), for every infinite cardinal $\mathfrak{m}$ satisfying ${\mathfrak{m}}^{\mathfrak{n}}\le \mathfrak{m}$ for all $\mathfrak{n}<\mathfrak{m}$, there exi…