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arXiv · 1302.6370

Max-min measures on ultrametric spaces

Matija Cencelj·Dušan Repovš·Mykhailo Zarichnyi
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Abstract

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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Matija Cencelj, Dušan Repovš, Mykhailo Zarichnyi. 2013-02-26. Max-min measures on ultrametric spaces. https://doi.org/10.1016/j.topol.2013.01.022

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