Turkish Journal of Mathematics
Abstract
A topological space $X$ is called \it $CC$-normal \rm if there exist a normal space $Y$ and a bijective function $f:X\longrightarrow Y$ such that the restriction $f_{ _A}:A\longrightarrow f(A)$ is a homeomorphism for each countably compact subspace $A\subseteq X$. We will investigate this property and produce some examples to illustrate the relation between $CC$-normality and other weaker kinds of normality.
DOI
10.3906/mat-1604-3
Keywords
Normal, $L$-normal, $C$-normal, $CC$-normal, mildly normal, almost normal, epinormal, submetrizable, $\pi$-normal
First Page
749
Last Page
755
Recommended Citation
KALANTAN, L, & ALHOMIEYED, M (2017). $CC$-normal topological spaces. Turkish Journal of Mathematics 41 (3): 749-755. https://doi.org/10.3906/mat-1604-3
