Two results on special points
Volume 176 / 2003
Fundamenta Mathematicae 176 (2003), 171-179
MSC: Primary 54G05.
DOI: 10.4064/fm176-2-5
Abstract
We show that there is a nowhere ccc $\sigma $-compact space which has a remote point. We show that it is consistent to have a non-compact $\sigma $-compact separable space $X$ such that every point of the remainder is a limit of a countable discrete subset of non-isolated points of $X$. This example shows that one cannot prove in ZFC that every locally compact non-compact space has discrete weak $P$-points.
