
Let a topological s ace X be said to be rarophile i .each rare set is a .nite intersection of semi-o en sets (in the sense that A is semi-o en i .A .cl(int(A))).Various characteri- zations for raro hile spaces,examples of rarophile and non-rarophile spaces,ro erties of raro hile spaces are given and some o en roblems formulated.
rare sets, strongly rarophile spaces, Topological spaces and generalizations (closure spaces, etc.), semi-open, rarophile
rare sets, strongly rarophile spaces, Topological spaces and generalizations (closure spaces, etc.), semi-open, rarophile
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