dc.contributor.author |
Sanchis, M |
|
dc.contributor.author |
Tamariz, A |
|
dc.date.accessioned |
2011-01-22T10:27:38Z |
|
dc.date.available |
2011-01-22T10:27:38Z |
|
dc.date.issued |
1999 |
|
dc.identifier.issn |
0166-8641 |
|
dc.identifier.uri |
http://hdl.handle.net/11154/2620 |
|
dc.description.abstract |
We prove some basic properties of p-bounded subsets (p epsilon omega) in terms of z-ultrafilters and families of continuous functions, We analyze the relations between p-pseudocompactness with other pseudocompact like-properties as p-compactness and alpha-pseudocompactness where alpha is a cardinal number We give an example of a sequentially compact ultrapseudocompact alpha-pseudocompact space which is not ultracompact, and we also give an example of an ultrapseudocompact totally countably compact alpha-pseudocompact space which is not q-compact for any q epsilon omega, answering affirmatively to a question posed by S. García-Ferreira and Kocinac (1996). We show the distribution law cl(gamma(XxY)) (A x B) = cl(gamma X) A x cl(gamma Y)B, where gamma Z denotes the Dieudonne completion of Z, for p-bounded subsets and we generalize the classical Glisckberg Theorem on pseudocompactness in the realm of p-boundedness, These results are applied to study the degree of pseudocompactness in the product of p-bounded subsets. (C) 1999 Published by Elsevier Science B.V. All rights reserved. |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
p-pseudocompactness and related topics in topological spaces |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
2626 |
|
dc.source.novolpages |
98(40603):323-343 |
|
dc.subject.wos |
Mathematics, Applied |
|
dc.subject.wos |
Mathematics |
|
dc.description.index |
WoS: SCI, SSCI o AHCI |
|
dc.subject.keywords |
p-limit point |
|
dc.subject.keywords |
p-pseudocompact space |
|
dc.subject.keywords |
p-compact space |
|
dc.subject.keywords |
p-bounded set |
|
dc.subject.keywords |
C-alpha-compact set |
|
dc.subject.keywords |
alpha-pseudocompact space |
|
dc.subject.keywords |
degree of pseudocompactness |
|
dc.subject.keywords |
Glisckberg's Theorem |
|
dc.subject.keywords |
Dieudonne completion |
|
dc.subject.keywords |
sequentially compact space |
|
dc.subject.keywords |
totally countably compact space |
|
dc.subject.keywords |
z-u |
|
dc.relation.journal |
Topology and Its Applications |
|