Some topological properties on C-[formula omitted]-Normality and C-[formula omitted]-Normality

Abstract

A topological space (Y,τ) is called C-α-normal (C-β-normal) if there exist a bijective function g from Y onto α-normal (β-normal) space Z such that the restriction map g|B from B onto g(B) is a homeomorphism for any compact subspace B of Y. We discuss some relationships between C-α-normal (C-β-normal) and other properties.