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Regular generalized closed sets. (English) Zbl 0794.54002

The authors study the behaviour of regular generalized closed (open) sets in a topological space under unions, intersections and mappings. These sets generalize N. Levine’s generalized closed (open) sets [Rend. Circ. Mat. Palermo, II. Ser. 19, 89-96 (1970; Zbl 0231.54001)], replacing open and closed sets in Levine’s definition by regular open \((U=U^{- o})\) and regular closed \((U=U^{o-})\) sets respectively.

MSC:

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

Citations:

Zbl 0231.54001
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