dc.contributor.author |
Sanchis, M |
|
dc.contributor.author |
Tamariz, A |
|
dc.date.accessioned |
2011-01-22T10:27:25Z |
|
dc.date.available |
2011-01-22T10:27:25Z |
|
dc.date.issued |
2002 |
|
dc.identifier.issn |
0236-5294 |
|
dc.identifier.uri |
http://hdl.handle.net/11154/1876 |
|
dc.description.abstract |
(2) every class P-P is closed under arbitrary products |
en_US |
dc.description.abstract |
Given p is an element of beta(w) \ w, we determine when a product of quasi-p-pseudocompact spaces preserves this property. In particular, we analyze the product of quasi-p-pseudocompact subspaces of beta(w) containing w. We give examples of spaces X, Y, X-s, Y-s which are quasi-p-pseudocompact for every p is an element of w, but X x Y is not pseudocompact, and X-s x Y-s is pseudocompact and it is not quasi-s-pseudocompact for each s is an element of w. Besides, we prove that every pseudocompact space X of beta(w) with w subset of X, is quasi-p-pseudocompact for some p is an element of w. Finally, we introduce, for each p is an element of w, the class P-P of all spaces X such that X x Y is quasi-p-pseudocompact when so is Y |
en_US |
dc.description.abstract |
and we prove: (1) the intersection of classes P-p (p is an element of w) coincides with the Frolik class |
en_US |
dc.description.abstract |
(3) the partial ordered set ({P-p : p is an element of w}, superset of) is isomorphic to the set of equivalence classes of free ultrafilters on w with the Rudin-Keisler order. A topological characterization of RK-minimal ultrafilters is also given. |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
Products of quasi-p-pseudocompact spaces |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
2226 |
|
dc.source.novolpages |
94(4):289-306 |
|
dc.subject.wos |
Mathematics |
|
dc.description.index |
WoS: SCI, SSCI o AHCI |
|
dc.subject.keywords |
Rudin-Keisler order |
|
dc.subject.keywords |
p-limit point |
|
dc.subject.keywords |
pseudocompact space |
|
dc.subject.keywords |
M-pseudocompact space |
|
dc.subject.keywords |
quasi-p-pseudocompact space |
|
dc.subject.keywords |
Frolik class |
|
dc.relation.journal |
Acta Mathematica Hungarica |
|