dc.contributor.author |
Sanchis, M |
|
dc.contributor.author |
Tamariz, A |
|
dc.date.accessioned |
2011-01-22T10:27:24Z |
|
dc.date.available |
2011-01-22T10:27:24Z |
|
dc.date.issued |
2002 |
|
dc.identifier.issn |
0362-1588 |
|
dc.identifier.uri |
http://hdl.handle.net/11154/1847 |
|
dc.description.abstract |
that bounded subsets of a GLOTS are strongly-bounded |
en_US |
dc.description.abstract |
We discuss the relationship between p-boundedness and quasi-p-boundedness in the realm of GLOTS for p is an element of omega. We show that p-pseudocompactness, p-compactness, quasi-p-pseudocompactness and quasi-p-compactness are equivalent properties for a GLOTS |
en_US |
dc.description.abstract |
and C-compact subsets of a GLOTS are strongly-C-compact. We also show that a topologically orderable group is locally precompact if and only if it is metrizable. For bounded subsets of a GLOTS, a version of the classical Gilcksberg's Theorem on pseudocompactness is obtained: if A(alpha) is a bounded subset of a GLOTS X-alpha for each alpha is an element of Delta, then cl(beta(Pialphais an element ofDelta) X-alpha) (Pi(alphais an element ofDelta) A(alpha)) = Pi(alphais an element ofDelta) cl(beta(Xalpha))A(alpha). Also we prove that there exists an ultrapseudocompact topological group which is not quasi-p-compact for any p is an element of omega. To see this example, p-pseudocompactness and p-compactness are investigated in the field of C-pi-spaces, proving that ultracompactness, quasi-p-compactness for a p is an element of omega and countable compactness (respectively, ultrapseudocompactness, quasi-p-pseudocompactness for a p is an element of omega and pseudocompactness) are equivalent properties in the class of spaces of the form C-pi(X, [0, 1]). |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
A note on p-bounded and quasi-p-bounded subsets |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
2170 |
|
dc.source.novolpages |
28(3):511-527 |
|
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 |
quasi p-bounded set |
|
dc.subject.keywords |
strongly bounded set |
|
dc.subject.keywords |
C-compact set |
|
dc.subject.keywords |
spaces of continuous functions |
|
dc.subject.keywords |
Generalized Linearly Topological Spaces |
|
dc.subject.keywords |
P-space |
|
dc.subject.keywords |
alpha-b-discrete space |
|
dc.subject.keywords |
topological group |
|
dc.relation.journal |
Houston Journal of Mathematics |
|