ITES2001 - Fourth Italian-Spanish Conference on
GENERAL TOPOLOGY AND ITS APPLICATIONS
Bressanone, 27-30 June 2001

A countable, dense-in-itself dense P-set
Petr Simon
Dept. of Math. Logic, Charles University, Czech Republic

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.



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