Lutfi KALANTAN, Manal ALHOMIEYED

106124

$CC$-normal topological spaces

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,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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