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On a problem of Talagrand concerning separately continuous functions

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cris.lastimport.scopus2024-02-12T20:32:03Z
dc.abstract.enWe construct a separately continuous function e:E×K→{0,1} on the product of a Baire space E and a compact space K such that no restriction of e to any non-meagre Borel set in E×K is continuous. The function e has no points of joint continuity, and, hence, it provides a negative solution of Talagrand’s problem in Talagrand [Espaces de Baire et espaces de Namioka, Math. Ann.270 (1985), 159–164].
dc.affiliationUniwersytet Warszawski
dc.contributor.authorMykhailiuk, Volodymyr
dc.contributor.authorPol, Roman
dc.date.accessioned2024-01-25T15:44:46Z
dc.date.available2024-01-25T15:44:46Z
dc.date.issued2021
dc.description.financePublikacja bezkosztowa
dc.description.number5
dc.description.volume20
dc.identifier.doi10.1017/S1474748019000677
dc.identifier.issn1474-7480
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114653
dc.identifier.weblinkhttps://doi.org/10.1017/S1474748019000677
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofJournal of the Institute of Mathematics of Jussieu
dc.relation.pages1719-1728
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleOn a problem of Talagrand concerning separately continuous functions
dc.typeJournalArticle
dspace.entity.typePublication