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.