Separate continuity, joint continuity and the Lindelof property

Moors, Warren; Kenderov, PS

dc.contributor.author	Moors, Warren	en
dc.contributor.author	Kenderov, PS	en
dc.date.accessioned	2012-05-24T23:42:06Z	en
dc.date.issued	2006	en
dc.identifier.citation	Proceedings of the American Mathematical Society 134(5):1503-1512 2006	en
dc.identifier.issn	0002-9939	en
dc.identifier.uri	http://hdl.handle.net/2292/18412	en
dc.description.abstract	In this paper we prove a theorem more general than the following. Suppose that $ X$ is Lindelöf and $ \alpha$-favourable and $ Y$ is Lindelöf and Cech-complete. Then for each separately continuous function $ f:X\times Y \rightarrow \mathbb{R}$ there exists a residual set $ R$ in $ X$ such that $ f$ is jointly continuous at each point of $ R\times Y$.	en
dc.publisher	American Mathematical Society	en
dc.relation.ispartofseries	Proceedings of the American Mathematical Society	en
dc.rights	Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher.	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.title	Separate continuity, joint continuity and the Lindelof property	en
dc.type	Journal Article	en
dc.identifier.doi	10.1090/S0002-9939-05-08499-6	en
pubs.issue	5	en
pubs.begin-page	1503	en
pubs.volume	134	en
dc.rights.holder	Copyright: American Mathematical Society	en
pubs.end-page	1512	en
dc.rights.accessrights	http://purl.org/eprint/accessRights/RestrictedAccess	en
pubs.subtype	Article	en
pubs.elements-id	89880	en
pubs.org-id	Science	en
pubs.org-id	Mathematics	en
pubs.record-created-at-source-date	2010-09-01	en