The subspace of weak P -points of ℕ *

Salvador García-Ferreira; Y. F. Ortiz-Castillo

Commentationes Mathematicae Universitatis Carolinae (2015)

  • Volume: 56, Issue: 2, page 231-236
  • ISSN: 0010-2628

Abstract

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Let W be the subspace of 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 ∈ ℕ * .

How to cite

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García-Ferreira, Salvador, and Ortiz-Castillo, Y. F.. "The subspace of weak $P$-points of $\mathbb {N}^*$." Commentationes Mathematicae Universitatis Carolinae 56.2 (2015): 231-236. <http://eudml.org/doc/270091>.

@article{García2015,
abstract = {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 $p \in \mathbb \{N\}^*$.},
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; weak -point; $\mathfrak \{c\}$-OK point; pseudocompactness; ultrapseudocompactness},
language = {eng},
number = {2},
pages = {231-236},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The subspace of weak $P$-points of $\mathbb \{N\}^*$},
url = {http://eudml.org/doc/270091},
volume = {56},
year = {2015},
}

TY - JOUR
AU - García-Ferreira, Salvador
AU - Ortiz-Castillo, Y. F.
TI - The subspace of weak $P$-points of $\mathbb {N}^*$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2015
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 56
IS - 2
SP - 231
EP - 236
AB - 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 $p \in \mathbb {N}^*$.
LA - eng
KW - $p$-pseudocompactness; ultrapseudocompactness; strongly pseudocompactness; strongly $p$-pseudocompactness; weak $P$-points; $\mathfrak {c}$-OK points; weak -point; $\mathfrak {c}$-OK point; pseudocompactness; ultrapseudocompactness
UR - http://eudml.org/doc/270091
ER -

References

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  9. García-Ferreira S., Tomita A. H., A pseudocompact groups which is not strongly pseudocompact, submitted. 
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  11. Kunen K., Weak P -points in ℕ * , Topology, Vol. II (Proc. Fourth Colloq., Budapest, 1978), pp. 741–749, Colloq. Math. Soc. János Bolyai, 23, North-Holland, Amsterdam-New York, 1980. MR0588822
  12. Sanchis M., Tamariz-Mascarúa Á., 10.1016/S0166-8641(98)00111-4, Topology Appl. 98 (1999), 323–343. Zbl0970.54008MR1720010DOI10.1016/S0166-8641(98)00111-4
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