Spaces α-sg-T <inf>i</inf>, i = 0, 1, 2, 3

Abstract:

Let (X,τ) be a topological space and α be a monotone operator-associated with τ. A subset A of X is said to be a generalized α semi closed (denoted by α-sg-closed) if for each generalized α semi open set U of X such that A ⊆ U, then α - sCl(A) ⊂ U, where α - sCl(A) denote the á-semi closure of A. The complement of a α-sg-closed set is called generalized α-semi open set (denoted by α-sg-open). In this work, we use the notions of α-sg-open sets in order to introduce some properties of separation α semi generalized α - sg - T i for i=0, 1, 2, 3, and study some characterizations of the spaces α - sg - T i.

Año de publicación:

2003

Keywords:

• α Semi Kernel
• α sg-regular
• Generalized α Semi interior
• Generalized α Semi closure

Fuente:

scopus