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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.)