The boundedness principle characterizes second category subsets

Broughan, Kevin A.

The boundedness principle characterizes second category subsets

dc.contributor.author	Broughan, Kevin A.	en_NZ
dc.date.accessioned	2016-07-04T01:50:14Z
dc.date.available	1977	en_NZ
dc.date.available	2016-07-04T01:50:14Z
dc.date.issued	1977	en_NZ
dc.description.abstract	Converses are proved for the Osgood (the Principle of Uniform Boundedness), Dini, and other well known. theorems. The notion of a continuous step function on a topological space is defined and a class of spaces identified for which each lower semicontinuous function is the pointwise limit of a monotonically increasing sequence of step functions.	en_NZ
dc.format.mimetype	application/pdf
dc.identifier.citation	Broughan, K. A. (1977). The boundedness principle characterizes second category subsets. Bulletin of the Australian Mathematical Society, 16(2), 257–265. http://doi.org/10.1017/S0004972700023285	en
dc.identifier.doi	10.1017/S0004972700023285	en_NZ
dc.identifier.eissn	1755-1633	en_NZ
dc.identifier.issn	0004-9727	en_NZ
dc.identifier.uri	https://hdl.handle.net/10289/10505
dc.language.iso	en
dc.relation.isPartOf	Bulletin of the Australian Mathematical Society	en_NZ
dc.rights	This article is published in the Bulletin of the Australian Mathematical Society. © 1977, Australian Mathematical Society. Used with permission
dc.title	The boundedness principle characterizes second category subsets	en_NZ
dc.type	Journal Article
pubs.begin-page	257
pubs.elements-id	139084
pubs.end-page	265
pubs.issue	2	en_NZ
pubs.notes	QA Journal:EBSCO	en_NZ
pubs.organisational-group	/Waikato
pubs.organisational-group	/Waikato/FCMS
pubs.volume	16	en_NZ
uow.verification.status	verified