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