S. García-Ferreira, Y. F. Ortiz-Castillo
The subspace of weak $P$-points of $\mathbb{N}^*$

Comment.Math.Univ.Carolin. 56,2 (2015) 231-236.

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 $p \in \mathbb N^*$.

Keywords: $p$-pseudocompactness; ultrapseudocompactness; strongly pseudocompactness; strongly $p$-pseudocompactness; weak $P$-points; $\mathfrak{c}$-OK points

DOI: DOI 10.14712/1213-7243.2015.120
AMS Subject Classification: 54A20 54A25 54D45 54D99 54C45 54D40 54D80

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