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eBook details

• Title: B--[R.Sub.0] and B--[R.Sub.1] Spaces (Technical Report)
• Author : Global Journal of Pure and Applied Mathematics
• Release Date : January 01, 2008
• Genre: Mathematics,Books,Science & Nature,
• Pages : * pages
• Size : 66 KB

Description

1. Introduction The notion of b-open set was introduced by Andrijevic [1]. A subset A of a topological space (X, [tau]) is called b-open [1] (resp. semi-open [4] and preopen [6]) if A [subset or equal to] Cl(IntA) [union] I nt (Cl A) (resp. A [subset or equal to] Cl(I nt A) and A [subset or equal to] I nt (Cl A)). The complement of a b-open (resp. semi-open and preopen) set is called b-closed [1] (resp. semi-closed [3] and preclosed [6]). By BO(X) (resp. BC(X)), we denote the family of all b-open (resp. b-closed) subsets of X. The intersection of all b-closed (resp. semiclosed and preclosed) sets containing A is called the b-closure [1] (resp. semi-closure [3] and preclosure [7]) of A, denoted by bCl(A) (resp. sCl(A) and pCl(A)). A subset U of a topological space (X, [tau]) is a b-neighborhood of a point x if U contains a b-open set V such that x [member of] V.

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