Abstract
The promise made at the beginning of Chapter 6 that βX is to be used to characterize the maximal ideals in C(X) and in C*(X), will be fulfilled in this chapter. The key to the description of the maximal ideals in C*(X) has already been given: C*(X) is isomorphic with C(βX), and the maximal ideals in the latter ring are in one-one correspondence with the points of βX.
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© 1960 D. Van Nostrand Company, Inc.
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Gillman, L., Jerison, M. (1960). Characterization of Maximal Ideals. In: Rings of Continuous Functions. The University Series in Higher Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7819-2_7
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DOI: https://doi.org/10.1007/978-1-4615-7819-2_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90120-6
Online ISBN: 978-1-4615-7819-2
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