Geodesic
Countably evaluating homomorphisms on real function algebras
Archivum mathematicum, Tome 35 (1999) no. 2, pp. 165-192.

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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.
Classification : 46E25, 46J10, 46J15, 54C35, 54D60
Keywords: realcompactness; algebras of smoth functions; countably evaluating homomorphisms 
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Adam, Eva; Biström, Peter; Kriegl, Andreas. Countably evaluating homomorphisms on real function algebras. Archivum mathematicum, Tome 35 (1999) no. 2, pp. 165-192. http://geodesic.mathdoc.fr/item/ARM_1999__35_2_a8/