Strong pseudocompact properties
Salvador García-Ferreira; Y. F. Ortiz-Castillo
Commentationes Mathematicae Universitatis Carolinae (2014)
- Volume: 55, Issue: 1, page 101-109
- ISSN: 0010-2628
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topGarcía-Ferreira, Salvador, and Ortiz-Castillo, Y. F.. "Strong pseudocompact properties." Commentationes Mathematicae Universitatis Carolinae 55.1 (2014): 101-109. <http://eudml.org/doc/260763>.
@article{García2014,
abstract = {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].},
author = {García-Ferreira, Salvador, Ortiz-Castillo, Y. F.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$p$-pseudocompactness; ultrapseudocompactness; strongly pseudocompactness; strongly $p$-pseudocompactness; weak $P$-points; $\mathfrak \{c\}-OK$ points; Rudin-Keisler pre-order; -pseudocompact space; ultrapseudocompact space; strongly pseudocompact space; strongly -pseudocompact space; weak -point; Rudin-Keisler pre-order},
language = {eng},
number = {1},
pages = {101-109},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Strong pseudocompact properties},
url = {http://eudml.org/doc/260763},
volume = {55},
year = {2014},
}
TY - JOUR
AU - García-Ferreira, Salvador
AU - Ortiz-Castillo, Y. F.
TI - Strong pseudocompact properties
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2014
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 55
IS - 1
SP - 101
EP - 109
AB - 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].
LA - eng
KW - $p$-pseudocompactness; ultrapseudocompactness; strongly pseudocompactness; strongly $p$-pseudocompactness; weak $P$-points; $\mathfrak {c}-OK$ points; Rudin-Keisler pre-order; -pseudocompact space; ultrapseudocompact space; strongly pseudocompact space; strongly -pseudocompact space; weak -point; Rudin-Keisler pre-order
UR - http://eudml.org/doc/260763
ER -
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