Geodesic
Strong pseudocompact properties
Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 1, pp. 101-109.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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].
Classification : 54A20, 54D30, 54D80, 54D99
Keywords: $p$-pseudocompactness; ultrapseudocompactness; strongly pseudocompactness; strongly $p$-pseudocompactness; weak $P$-points; $\mathfrak{c}-OK$ points; Rudin-Keisler pre-order 
@article{CMUC_2014__55_1_a7,
     author = {Garc{\'\i}a-Ferreira, S. and Ortiz-Castillo, Y. F.},
     title = {Strong pseudocompact properties},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {101--109},
     publisher = {mathdoc},
     volume = {55},
     number = {1},
     year = {2014},
     mrnumber = {3160828},
     zbl = {06383787},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2014__55_1_a7/}
}
TY  - JOUR
AU  - García-Ferreira, S.
AU  - Ortiz-Castillo, Y. F.
TI  - Strong pseudocompact properties
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2014
SP  - 101
EP  - 109
VL  - 55
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2014__55_1_a7/
LA  - en
ID  - CMUC_2014__55_1_a7
ER  - 
%0 Journal Article
%A García-Ferreira, S.
%A Ortiz-Castillo, Y. F.
%T Strong pseudocompact properties
%J Commentationes Mathematicae Universitatis Carolinae
%D 2014
%P 101-109
%V 55
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2014__55_1_a7/
%G en
%F CMUC_2014__55_1_a7
García-Ferreira, S.; Ortiz-Castillo, Y. F. Strong pseudocompact properties. Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 1, pp. 101-109. http://geodesic.mathdoc.fr/item/CMUC_2014__55_1_a7/