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Characters on C(X)
Published online by Cambridge University Press: 20 November 2018
Abstract
The precise condition on a completely regular space $X$ for every character on $C\left( X \right)$ to be an evaluation at some point in $X$ is that $X$ be realcompact. Usually, this classical result is obtained by relying heavily on involved (and even nonconstructive) extension arguments. This note provides a direct proof that is accessible to a large audience.
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- Copyright © Canadian Mathematical Society 2015