| Title:
|
Strong pseudocompact properties (English) |
| Author:
|
García-Ferreira, S. |
| Author:
|
Ortiz-Castillo, Y. F. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2014 |
| Pages:
|
101-109 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For a free ultrafilter $p$ on $\mathbb{N}$,
the concepts of strong pseudocompactness,
strong $p$-pseudocompactness and
pseudo-$\omega$-boundedness were
introduced in [Angoa J., Ortiz-Castillo Y.F.,
Tamariz-Mascarúa A., Ultrafilters and
properties related to compactness,
Topology Proc. 43 (2014), 183--200]
and [García-Ferreira S., Ortiz-Castillo Y.F.,
Strong pseudocompact properties of
certain subspaces of $\mathbb N^*$,
submitted]. These properties in a space
$X$ characterize the pseudocompactness
of the hyperspace $\mathcal{K}(X)$ of
compact subsets of $X$ with the Vietoris
topology. In this paper, we study the
strong pseudocompactness and strong
$p$-pseudocompactness of certain spaces.
Besides, we established a relationship
between these kind of properties and
a result involving topological groups
of I. Protasov [Discrete subsets of
topological groups, Math. Notes 55
(1994), no. 1--2, 101--102]. (English) |
| Keyword:
|
$p$-pseudocompactness |
| Keyword:
|
ultrapseudocompactness |
| Keyword:
|
strongly pseudocompactness |
| Keyword:
|
strongly $p$-pseudocompactness |
| Keyword:
|
weak $P$-points |
| Keyword:
|
$\mathfrak{c}-OK$ points |
| Keyword:
|
Rudin-Keisler pre-order |
| MSC:
|
54A20 |
| MSC:
|
54D30 |
| MSC:
|
54D80 |
| MSC:
|
54D99 |
| idZBL:
|
Zbl 06383787 |
| idMR:
|
MR3160828 |
| . |
| Date available:
|
2014-01-17T09:38:03Z |
| Last updated:
|
2016-04-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143570 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[9] García-Ferreira S., Ortiz-Castillo Y.F.: Strong pseudocompact properties of certain subspaces of $\mathbb N^*$.submitted. |
| Reference:
|
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| Reference:
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| Reference:
|
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| . |
