Artykuł w czasopiśmie
Brak miniatury
Licencja
ClosedAccessDostęp zamknięty
 

On countably perfectly meager and countably perfectly null sets

Uproszczony widok
dc.abstract.enWe study a strengthening of the notion of a universally meager set and its dual counterpart that strengthens the notion of a universally null set. We say that a subset A of a perfect Polish space X is countably perfectly meager (respectively, countably perfectly null) in X, if for every perfect Polish topology τ on X, giving the original Borel structure of X, A is overed by an Fσ -set F in X with the original Polish topology such that F is meager with respect to τ (respectively, for every finite, non-atomic, Borel measure μ on X, A is covered by an Fσ -set F in X with μ(F ) = 0). We prove that if 2ℵ0 ≤ ℵ2, then there exists a universally meager set in 2N which is not countably perfectly meager in 2N (respectively, a universally null set in 2N which is not countably perfectly null in 2N).
dc.affiliationUniwersytet Warszawski
dc.contributor.authorZakrzewski, Piotr
dc.contributor.authorWeiss, Tomasz
dc.date.accessioned2024-01-25T15:44:59Z
dc.date.available2024-01-25T15:44:59Z
dc.date.issued2023
dc.description.financePublikacja bezkosztowa
dc.identifier.doi10.1016/J.APAL.2023.103357
dc.identifier.issn0168-0072
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114676
dc.identifier.weblinkhttps://api.elsevier.com/content/article/PII:S0168007223001148?httpAccept=text/xml
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofAnnals of Pure and Applied Logic
dc.relation.pages103357: 1-13
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enperfectly meager set
dc.subject.enuniversally meager set
dc.subject.enuniversally null set
dc.titleOn countably perfectly meager and countably perfectly null sets
dc.typeJournalArticle
dspace.entity.typePublication