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Probability measure monad on the category of ultrametric spaces

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Probability measure monad on the category of ultrametric spaces

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dc.contributor.author Hubal, O.B. es_ES
dc.contributor.author Zarichnyi, M.M. es_ES
dc.date.accessioned 2017-09-05T11:40:15Z
dc.date.available 2017-09-05T11:40:15Z
dc.date.issued 2008-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/86438
dc.description.abstract [EN] 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. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Probability measure es_ES
dc.subject Ultrametric space es_ES
dc.subject Monad es_ES
dc.subject Kleisli category es_ES
dc.title Probability measure monad on the category of ultrametric spaces es_ES
dc.type Artículo es_ES
dc.date.updated 2017-09-05T11:04:54Z
dc.identifier.doi 10.4995/agt.2008.1803
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Hubal, O.; Zarichnyi, M. (2008). Probability measure monad on the category of ultrametric spaces. Applied General Topology. 9(2):229-237. https://doi.org/10.4995/agt.2008.1803 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2008.1803 es_ES
dc.description.upvformatpinicio 229 es_ES
dc.description.upvformatpfin 237 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 9
dc.description.issue 2
dc.identifier.eissn 1989-4147


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