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The space of minimal prime ideals of $ C(X)$ need not be basically disconnected

Authors: A. Dow, M. Henriksen, Ralph Kopperman and J. Vermeer
Journal: Proc. Amer. Math. Soc. 104 (1988), 317-320
MSC: Primary 54C40; Secondary 06F25
MathSciNet review: 958091
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Abstract: Problems posed twenty and twenty-five years ago by M. Henriksen and M. Jerison are solved by showing that the space of minimal prime ideals of the ring $ C\left( X \right)$ of continuous real-valued functions on a compact (Hausdorff) space need not be basically disconnected--or even an $ F$-space.

References [Enhancements On Off] (What's this?)

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