Abstract
This chapter is devoted to an exposition of Katětov’s characterization of the dimension of X in terms of C*(X). We include little more of dimension theory than is needed for a self-contained proof of Katětov’s theorem. The few additional properties of dimension that are found here should help the reader to examine some illuminating examples.
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© 1960 D. Van Nostrand Company, Inc.
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Gillman, L., Jerison, M. (1960). Dimension. 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_16
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DOI: https://doi.org/10.1007/978-1-4615-7819-2_16
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90120-6
Online ISBN: 978-1-4615-7819-2
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