Probability measure monad on the category of ultrametric spaces


  • O.B. Hubal Lviv National University
  • M.M. Zarichnyi Lviv National University



Probability measure, Ultrametric space, Monad, Kleisli category


The set of all probability measures with compact support on an ultrametric space can be endowed with a natural ultrametric. We show that the functor of probability measures with finite supports (respectively compact supports) forms a monad in the category of ultrametric spaces (respectively complete ultrametric spaces) and nonexpanding maps. It is also proven that the G-symmetric power functor has an extension onto the Kleisli category of the probability measure monad.


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How to Cite

O. Hubal and M. Zarichnyi, “Probability measure monad on the category of ultrametric spaces”, Appl. Gen. Topol., vol. 9, no. 2, pp. 229–237, Oct. 2008.



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