Geodesic
Characters on C(X)
Canadian mathematical bulletin, Tome 58 (2015) no. 1, pp. 7-8

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DOI

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.
DOI : 10.4153/CMB-2014-024-3
Mots-clés : 54C30, 46E25, characters, realcompact, evaluation, real-valued continuous functions 
Boulabiar, Karim. Characters on C(X). Canadian mathematical bulletin, Tome 58 (2015) no. 1, pp. 7-8. doi: 10.4153/CMB-2014-024-3
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     title = {Characters on {C(X)}},
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     year = {2015},
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     number = {1},
     doi = {10.4153/CMB-2014-024-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-024-3/}
}
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