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  • Author or Editor: Ákos Császár x
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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.

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The author examines sets with the property int A ˆ int A, where denotes a map- ping with suitable properties from exp X to exp X in a topological space X. Thespecial case =cl is ofparticular importance.

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