dc.contributor.author |
Contreras-Carreto, A |
|
dc.contributor.author |
Tamariz, A |
|
dc.date.accessioned |
2011-01-22T10:26:41Z |
|
dc.date.available |
2011-01-22T10:26:41Z |
|
dc.date.issued |
2003 |
|
dc.identifier.issn |
1405-213X |
|
dc.identifier.uri |
http://hdl.handle.net/11154/1637 |
|
dc.description.abstract |
We discuss topological properties of a space X which imply that the spaces C-p(X, 2) and C-p(X, Z) have properties similar to compactness, such as sigma-compactness and sigma-countable compactness. In particular, for a zero-dimensional space X, we prove: (1) X is normal and Cp(X, 2) is a-compact iff X is an Eberlein-Grothendieck space and the set of non-isolated points in X is Eberlein compact, and (2) Cp(X, Z) is sigma-compact iff X is an Eberlein compact space. |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
On some generalizations of compactness in spaces C-p(X, 2) and Cp(X, Z) |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
1869 |
|
dc.source.novolpages |
9(2):291-308 |
|
dc.subject.wos |
Mathematics |
|
dc.description.index |
WoS: SCI, SSCI o AHCI |
|
dc.subject.keywords |
spaces of continuous functions |
|
dc.subject.keywords |
C-alpha-compact spaces |
|
dc.subject.keywords |
alpha-pseudocompact space |
|
dc.subject.keywords |
ultracompact spaces |
|
dc.subject.keywords |
pseudocompact spaces |
|
dc.subject.keywords |
sk-directed properties |
|
dc.subject.keywords |
Eberlein-Grothendieck space |
|
dc.subject.keywords |
Eberlein compact space. |
|
dc.relation.journal |
Boletin De La Sociedad Matematica Mexicana |
|