Some topological properties on C-α-Normality and C-β-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.

Keywords

• 54D15
• 54B10