## 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.)

Zbl 0231.54001