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A $\kappa$ -normal, not densely normal Tychonoff space

Author(s): Winfried Just; Jamal Tartir
Journal: Proc. Amer. Math. Soc. 127 (1999), 901-905.
MSC (1991): Primary 54D15
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Abstract: We give an example of a $\begin{math}\kappa\end{math}$ -normal space which is not densely normal.

References:

1.: Stchepin, E.V.; Real-valued functions, and spaces close to normal. Sib. Matem Journ. 13:5 (1972), 1182-1196.
2.: Arhangelskii, A.V.; Relative topological properties and relative topological spaces. Topology Appl. 70 (1996) 87-99.

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Additional Information:

Winfried Just
Affiliation: Department of Mathematics, Ohio University, Athens, Ohio 45701
Email: Just@bing.math.ohiou.edu

Jamal Tartir
Affiliation: Department of Mathematics, Ohio University, Athens, Ohio 45701
Address at time of publication: Department of Mathematics and Statistics, Catholic University of America, Washington, DC 20064
Email: Jt944485@oak.cats.ohiou.edu

DOI: 10.1090/S0002-9939-99-04587-6
PII: S 0002-9939(99)04587-6
Keywords: $\kappa$-normal, densely normal, $X$ normal on $Y$, $A$ concentrated on $Y$
Received by editor(s): March 27, 1997
Received by editor(s) in revised form: June 19, 1997
Additional Notes: The first author was partially supported by NSF grant DMS 9312363
Communicated by: Alan Dow
Copyright of article: Copyright 1999, American Mathematical Society


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