By studying algebra homomorphisms, which act as point evaluations on each countable subset, we obtain improved results on the question when all algebra homomorphisms are point evaluations.
@article{107694,
author = {Eva Adam and Peter Bistr\"om and Andreas Kriegl},
title = {Countably evaluating homomorphisms on real function algebras},
journal = {Archivum Mathematicum},
volume = {035},
year = {1999},
pages = {165-192},
zbl = {1050.46025},
mrnumber = {1711724},
language = {en},
url = {http://dml.mathdoc.fr/item/107694}
}
Adam, Eva; Biström, Peter; Kriegl, Andreas. Countably evaluating homomorphisms on real function algebras. Archivum Mathematicum, Tome 035 (1999) pp. 165-192. http://gdmltest.u-ga.fr/item/107694/
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