Divulgaciones Matemáticas Vol. 12 No. 1(2004), pp. 53–64 (α,β,θ,∂,I)-Continuous Mappings and their Decomposition

In this paper we introduce the concept of (α, β, θ, ∂, I)-continuous mappings and prove that if α, β are operators on the topological space (X, τ) and θ, θ ∗ , ∂ are operators on the topological space (Y, ϕ) and I a proper ideal on X, then a function f: X → Y is (α, β, θ ∧ θ∗, ∂, I)-continuous if and only if it is both (α, β, θ, ∂, I)-continuous and (α, β, θ∗, ∂, I)-continuous, generalizing a result of J. Tong. Addi-tional results on (α, Int, θ, ∂, {∅})-continuous maps are given. Key words and phrases: P-continuous, mutually dual expansions, expansion continuous Resumen En este art́ıculo se introduce el concepto de aplicación (α, β, θ, ∂, I)-continua y se prueba que si α, β son operadores en el espacio topológico (X, τ) y θ, θ∗, ∂ son operadores en el espacio topol’ogico (Y, ϕ) y I es un ideal propio en X, entonces una función f: X → Y es (α, β, θ∧θ∗, ∂, I)-continua si y s’olo si es (α, β, θ, ∂, I)-continua y (α, β, θ∗, ∂, I)-continua, generalizanso un resultado de J. Tong. Se dan resultados adicionales so