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The abstract of the talk (see below) may be downloaded in one of the following formats:
In 1998, during the Topology Conference in
Gyula, A.\,V.~Arhangel'skii asked the following
question:
\begin{quote}\em
Does there exist a compact separable
space without isolated points, whose countable
dense subset is a P-set?
\end{quote}
We shall present a ZFC example with the required properties.
The main tool for the construction is the familiar
Hechler poset for adding a dominating real.