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.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.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.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 |
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