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(X) of continuous real-valued functions on a compact (Hausdorff) space need not be basically disconnected-or even an F-space.
© 1988 American Mathematical Society
Dow, A., M. Henriksen, R. Kopperman, and J. Vermeer. "The Space Of Minimal Prime Ideals Of C(x) Need Not Be Basically Disconnected." Proceedings Of The American Mathematical Society 104.1 (September 1988): 317-320. DOI: 10.1090/S0002-9939-1988-0958091-X