## On pretopological spaces.(English)Zbl 0532.54002

The authors call a subset A of a topological space preopen, if $$A\subseteq \overline{A^ 0}$$. In this note, several consequences of this definition are studied (precontinuity, prehomomorphism etc.). Finally a characterization of paracompactness in terms of propen sets is given.
Reviewer: R.Domiaty

### MSC:

 54A05 Topological spaces and generalizations (closure spaces, etc.)