Idempotent probability measures on ultrametric spaces |
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| Authors: | Oleksandra Hubal |
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| Affiliation: | a Department of Mechanics and Mathematics, Lviv National University, Universytetska Str. 1, 79000 Lviv, Ukraine
b Institute of Mathematics, University of Rzeszów, Rejtana 16 A, 35-310 Rzeszów, Poland |
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| Abstract: | Following the construction due to Hartog and Vink we introduce a metric on the set of idempotent probability measures (Maslov measures) defined on an ultrametric space. This construction determines a functor on the category of ultrametric spaces and nonexpanding maps. We prove that this functor is the functorial part of a monad on this category. This monad turns out to contain the hyperspace monad. |
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| Keywords: | Idempotent measure Ultrametric space Monad |
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