Ultrametrizacijo množice vseh verjetnostnih mer s kompaktnim nosilcem na ultrametričnih prostorih sta prva definirala Hartog in de Vink. V članku obravnavamo podobno konstrukcijo za tako imenovane ...maks-min mere na metričnih prostorih. Med drugim dokažemo, da sta funktorja maks-min mer in idempotentnih mer izomorfna. Vendar pa pokažemo, da to ne velja za monadi generirani s tema funktorjema.
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