Regular generalized closed sets. (English) Zbl 0794.54002

Palaniappan, N.; Chandrasekhara Rao, K.

Kyungpook Math. J. 33, No. 2, 211-219 (1993).

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.

Reviewer: B.Behrens (Göteborg)

MSC:

54A05

Topological spaces and generalizations (closure spaces, etc.)

Keywords:

regular generalized closed set; regular generalized open set

Citations:

Zbl 0231.54001