dc.contributor.author |
Hrusak, M |
|
dc.contributor.author |
Martínez-Ruiz, I |
|
dc.contributor.author |
Hernández-Hernández, F |
|
dc.date.accessioned |
2011-01-22T10:26:14Z |
|
dc.date.available |
2011-01-22T10:26:14Z |
|
dc.date.issued |
2007 |
|
dc.identifier.issn |
0166-8641 |
|
dc.identifier.uri |
http://hdl.handle.net/11154/1094 |
|
dc.description.abstract |
We consider the following question of Ginsburg: Is there an), relationship between the pseudocompactness of X-omega and that of the hyperspace 2(X) ? We do that first in the context of Mrowka-Isbell spaces psi (A) associated with a maximal almost disjoint (MAD) family A on omega answenng a question of J. Cao and T. Nogura. The space psi (A)(omega) is pseudocompact for every MAD family A. We show that (1) (p = c) 2(Psi) ((A)) is pseudocompact for every MAD family A. (2) (h < c) There is a MAD family A such that 2(Psi(A)) is not pseudocompact. We also construct a ZFC example of a space X such that X-omega is pseudocompact, yet 2(X) is not. (C) 2007 Elsevier B.V. All rights reserved. |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
Pseudocompactness of hyperspaces |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
1073 |
|
dc.identifier.doi |
10.1016/j.topol.2007.07.001 |
|
dc.source.novolpages |
154(17):3048-3055 |
|
dc.subject.wos |
Mathematics, Applied |
|
dc.subject.wos |
Mathematics |
|
dc.description.index |
WoS: SCI, SSCI o AHCI |
|
dc.relation.journal |
Topology and Its Applications |
|