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A characterization of boolean spaces

Published online by Cambridge University Press:  17 April 2009

C.E. Dickerson  and
M.E. Moore
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Abstract

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A boolean space is a compact Hausdorff space which is zero-dimensional. In this paper, a boolean space X is characterized in terms of its ring of real-valued functions C(X). The result is sharpened for the case when X is an F-space (every finitely generated ideal of C(X) is principal).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 12 , Issue 1 , February 1975 , pp. 89 - 93
Copyright
Copyright © Australian Mathematical Society 1975

References

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