On a problem of Talagrand concerning separately continuous functions

dc.contributor.author	Mykhaylyuk, Volodymyr
dc.contributor.author	Pol, Roman
dc.date.accessioned	2021-11-21T12:13:16Z
dc.date.available	2021-11-21T12:13:16Z
dc.date.issued	2021
dc.identifier.citation	Mykhaylyuk V., Pol R. On a problem of Talagrand concerning separately continuous functions, Journal of the Institute of Mathematics of Jussieu, 20(5), (2021), 1719-1728.	uk_UA
dc.identifier.issn	1474-7480 (Print), 1475-3030 (Online)
dc.identifier.uri	https://archer.chnu.edu.ua/xmlui/handle/123456789/2007
dc.description.abstract	We 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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Cembridge University Press	uk_UA
dc.relation.ispartofseries	20(5);1719-1728
dc.subject	separately continuous function, Baire space, compact space, extremally disconnected space, Namioka property	uk_UA
dc.title	On a problem of Talagrand concerning separately continuous functions	uk_UA
dc.type	Article	uk_UA