2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76115We compare two examples of random dense countable sets, `Brownian local minima' and `unordered uniform infinite sample'. They appear to be identically distributed. A framework for such notions is proposed. In addition, random elements of other singular spaces (especially, reals modulo rationals) are considered.18 pagesProbabilityBrownian local minima and other random dense countable setstext