The abstract of the talk (see below) may be downloaded in one of the following formats:

We introduce and study the following new selection principle.
\begin{quote}\em
Let $X$ be a topological space and let ${\mathcal A}$
and ${\mathcal B}$ denote collections whose elements are families of
(open) subsets of $X$.

Then ${\sf S}_{pf}({\mathcal A},{\mathcal B})$
denotes that for each sequence $({\mathcal U}_n:\,n\in\N)$ of
elements of ${\mathcal A}$ there is a sequence $({\mathcal V}_n:\,n\in\N)$ such
that for each $n$  ${\mathcal V}_n$ is a point-finite
family with ${\mathcal V}_n < {\mathcal U}_n$ and $\bigcup_{n\in\N}{\mathcal
V}_n \in {\mathcal B}$.
\end{quote}
This general selection principle is compared with other well known
principles and it is investigated in relation with metacompactness and other
topological properties.
\vskip10pt\noindent
{\it2000 Mathematics Subject Classification:\/} 54D20, 54D45.

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