$CC$-normal topological spaces

Authors : Lutfi Kalantan, Manal Alhomieyed

Pages : 749-755

View : 11 | Download : 10

Publication Date : 9999-12-31

Article Type : Makaleler

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.
Keywords : Normal, $L$-normal, $C$-normal, $CC$-normal, mildly normal, almost normal, epinormal, submetrizable, $pi$-normal