The space of minimal prime ideals of $C(X)$ need not be basically disconnected
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- by A. Dow, M. Henriksen, Ralph Kopperman and J. Vermeer PDF
- Proc. Amer. Math. Soc. 104 (1988), 317-320 Request permission
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
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 317-320
- MSC: Primary 54C40; Secondary 06F25
- DOI: https://doi.org/10.1090/S0002-9939-1988-0958091-X
- MathSciNet review: 958091