## Eva Murtinov\'a

*A $\beta $-normal Tychonoff space which is not normal *

Comment.Math.Univ.Carolinae 43,1 (2002) 159-164. **Abstract:**$\alpha $-normality and $\beta $-normality are properties generalizing normality of topological spaces. They consist in separating dense subsets of closed disjoint sets. We construct an example of a Tychonoff $\beta $-normal non-normal space and an example of a Hausdorff $\alpha $-normal non-regular space.

**Keywords:** $\alpha $-normal, $\beta $-normal, closed unbounded

**AMS Subject Classification:** 54A05, 54D15, 03E75

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