dc.contributor.author |
GarcíaFERREIRA, S |
|
dc.contributor.author |
Tamariz, A |
|
dc.date.accessioned |
2011-01-22T10:28:35Z |
|
dc.date.available |
2011-01-22T10:28:35Z |
|
dc.date.issued |
1994 |
|
dc.identifier.issn |
0166-8641 |
|
dc.identifier.uri |
http://hdl.handle.net/11154/3444 |
|
dc.description.abstract |
In this paper, we study the p-Frechet-Urysohn property of function spaces, for p is-an-element-of beta(omega)\omega. We prove that C(pi)(X) is p-Frechet-Urysohn if and only if X has (gamma(p)), where (gamma(p) is the natural p-version of property (gamma) (this is a generalization of a result due to Gerlits and Nagy). We note the following implications: X is second countable double arrow pointing right X has (gamma(p)) for some p is-an-element-of beta(omega)\omega double line arrow pointing right X(n) is Lindelof for all 1 less-than-or-equal-to n < omega. We deal with the question when is C(pi)(R) a p-Frechet-Urysohn space. It is shown that there is p is-an-element-of beta(omega)\omega such that C(pi)(R) is p-Frechet-Urysohn |
en_US |
dc.description.abstract |
if p is semiselective, then every subset X of R satisfying (gamma(p)) has measure zero and if p is selective, then X is a strong measure zero set |
en_US |
dc.description.abstract |
and we can find p is-an-element-of beta(omega)\omega such that C(pi)(R) is p-Frechet-Urysohn and is not strongly p-Frechet-Urysohn. Finally, we prove that R(omega) does not have (gamma(p)) whenever p is a P-point of beta(omega)\omega. |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
P-FRECHET-URYSOHN PROPERTY OF FUNCTION-SPACES |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
3256 |
|
dc.source.novolpages |
58(2):157-172 |
|
dc.subject.wos |
Mathematics, Applied |
|
dc.subject.wos |
Mathematics |
|
dc.description.index |
WoS: SCI, SSCI o AHCI |
|
dc.subject.keywords |
FUNCTION SPACE |
|
dc.subject.keywords |
OMEGA-COVER |
|
dc.subject.keywords |
FU(P)-SPACE |
|
dc.subject.keywords |
GAMMA(P)-ROPERTY |
|
dc.subject.keywords |
RUDIN-KEISLER ORDER |
|
dc.subject.keywords |
RAPID |
|
dc.subject.keywords |
SEMISELECTIVE |
|
dc.subject.keywords |
SELECTIVE |
|
dc.subject.keywords |
P-POINT |
|
dc.subject.keywords |
Q-POINT |
|
dc.relation.journal |
Topology and Its Applications |
|