119 research outputs found
Max-min measures on ultrametric spaces
The ultrametrization of the set of all probability measures of compact
support on the ultrametric spaces was first defined by Hartog and de Vink. In
this paper we consider a similar construction for the so called max-min
measures on the ultrametric spaces. In particular, we prove that the functors
max-min measures and idempotent measures are isomorphic. However, we show that
this is not the case for the monads generated by these functors
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