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On Mazurkiewicz’s sets, thin sigma-ideals of compact sets and the space of probability measures on the rationals

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cris.lastimport.scopus2024-02-12T20:55:22Z
dc.abstract.enWe shall establish some properties of thin σ-ideals of compact sets in compact metric spaces (in particular, the σ-ideals of compact null-sets for thin subadditive capacities), and we shall refine the celebrated theorem of David Preiss that there exist compact non-uniformly tight sets of probability measures on the rationals. Both topics will be based on a construction of Stefan Mazurkiewicz from his 1927 paper containing a solution of a Urysohn’s problem in dimension theory
dc.affiliationUniwersytet Warszawski
dc.contributor.authorPol, Roman
dc.contributor.authorZakrzewski, Piotr
dc.date.accessioned2024-01-25T15:45:24Z
dc.date.available2024-01-25T15:45:24Z
dc.date.issued2021
dc.description.financePublikacja bezkosztowa
dc.description.number2
dc.description.volume115
dc.identifier.doi10.1007/S13398-020-00975-4
dc.identifier.issn1578-7303
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114720
dc.identifier.weblinkhttp://link.springer.com/content/pdf/10.1007/s13398-020-00975-4.pdf
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
dc.relation.pages1-16
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleOn Mazurkiewicz’s sets, thin sigma-ideals of compact sets and the space of probability measures on the rationals
dc.typeJournalArticle
dspace.entity.typePublication