On $\ast$-measure monads on the category of ultrametric spaces

Keywords: ultrametric space, non-expanding map, $\ast$-measure, monad, equilibrium
Published online: 2022-12-30


The functor of $\ast$-measures of compact support on the category of ultrametric spaces and non-expanding maps is introduced in the previous publication of the authors. In the present note, we prove that this functor determines a monad on this category. The monad structure allows us to define the tensor product of $\ast$-measures. We consider some applications of this notion to equilibrium theory.

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How to Cite
Sukhorukova K., Zarichnyi M. On $\ast$-Measure Monads on the Category of Ultrametric Spaces. Carpathian Math. Publ. 2022, 14 (2), 429-436.

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