Geodesic
The subspace of weak $P$-points of $\mathbb{N}^*$
Commentationes Mathematicae Universitatis Carolinae, Tome 56 (2015) no. 2, pp. 231-236.

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

Let $W$ be the subspace of $\mathbb N^*$ consisting of all weak $P$-points. It is not hard to see that $W$ is a pseudocompact space. In this paper we shall prove that this space has stronger pseudocompact properties. Indeed, it is shown that $W$ is a $p$-pseudocompact space for all $p \in \mathbb N^*$.
DOI : 10.14712/1213-7243.2015.120
Classification : 54A20, 54A25, 54C45, 54D40, 54D45, 54D80, 54D99
Keywords: $p$-pseudocompactness; ultrapseudocompactness; strongly pseudocompactness; strongly $p$-pseudocompactness; weak $P$-points; $\mathfrak{c}$-OK points 
@article{10_14712_1213_7243_2015_120,
     author = {Garc{\'\i}a-Ferreira, S. and Ortiz-Castillo, Y. F.},
     title = {The subspace of weak $P$-points of $\mathbb{N}^*$},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {231--236},
     publisher = {mathdoc},
     volume = {56},
     number = {2},
     year = {2015},
     doi = {10.14712/1213-7243.2015.120},
     mrnumber = {3338735},
     zbl = {06433820},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.120/}
}
TY  - JOUR
AU  - García-Ferreira, S.
AU  - Ortiz-Castillo, Y. F.
TI  - The subspace of weak $P$-points of $\mathbb{N}^*$
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2015
SP  - 231
EP  - 236
VL  - 56
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.120/
DO  - 10.14712/1213-7243.2015.120
LA  - en
ID  - 10_14712_1213_7243_2015_120
ER  - 
%0 Journal Article
%A García-Ferreira, S.
%A Ortiz-Castillo, Y. F.
%T The subspace of weak $P$-points of $\mathbb{N}^*$
%J Commentationes Mathematicae Universitatis Carolinae
%D 2015
%P 231-236
%V 56
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.120/
%R 10.14712/1213-7243.2015.120
%G en
%F 10_14712_1213_7243_2015_120
García-Ferreira, S.; Ortiz-Castillo, Y. F. The subspace of weak $P$-points of $\mathbb{N}^*$. Commentationes Mathematicae Universitatis Carolinae, Tome 56 (2015) no. 2, pp. 231-236. doi : 10.14712/1213-7243.2015.120. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.120/

Cité par Sources :