| A note on star compact spaces with a $G_{\delta}$-diagonal |
| Yan-Kui Song |
Abstract In this note we give an example of a Hausdorff, star compact space with a $G_\delta$-diagonal which is not metrizable, which answers negatively a question of van Mill, Tkachuk and Wilson (Problem 4.8 in [J. van Mill, V.V. Tkachuk, R.G. Wilson, Classes defined by stars and neighbourhood assignments, Topology Appl. 154 (2007), 2127--2134]).
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Keywords: Star compact space, $G_\delta$-diagonal. |
MSC: 54D20 |
Pages: 41--43 |
Volume 63 , Issue 1 , 2011 |
