Abstract
A construction of the Stone—Čech compactification of a locale L is presented in this paper as a quotient of the frame of radical ideals of the algebra C *(L). As a corollary, a constructive, localic version of the Gelfand—Kolmogorov theorem is obtained.
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Wei, H. A Constructive Proof of the Gelfand—Kolmogorov Theorem. Applied Categorical Structures 12, 197–202 (2004). https://doi.org/10.1023/B:APCS.0000018250.65771.5e
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DOI: https://doi.org/10.1023/B:APCS.0000018250.65771.5e