Probability measure monad on the category of ultrametric spaces

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...

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Bibliographic Details
Main Authors: O.B. Hubal, M.M. Zarichnyi
Format: Article
Language:English
Published: Universitat Politècnica de València 2008-10-01
Series:Applied General Topology
Subjects:
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1803