The Space of Minimal Prime Ideals of C(x) Need not be Basically Disconnected

Authors

Alan Dow, York University
Melvin Henriksen, Harvey Mudd CollegeFollow
Ralph Kopperman, City College of New York
J. Vermeer, Delft University of Technology

Document Type

Article

Department

Mathematics (HMC)

Publication Date

9-1-1988

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(X) of continuous real-valued functions on a compact (Hausdorff) space need not be basically disconnected-or even an F-space.

Comments

Previously linked to as: http://ccdl.libraries.claremont.edu/u?/irw,398.

Pdf created from print copy.

This article is also available at http://www.ams.org/journals/proc/1988-104-01/S0002-9939-1988-0958091-X/.

Rights Information

© 1988 American Mathematical Society

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1090/S0002-9939-1988-0958091-X

Recommended Citation

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