Address. E. Adam, Math. Institut der Univ. Wien, Strudlhofg. 4, A-1090 Vienna, AUSTRIA
P. Bistr"om, Mat. Inst. vid AA bo Akademi, F"anriksg. 3, SF-20500 AA bo, FINLAND
A. Kriegl, Math. Institut der Univ. Wien, Strudlhofg. 4, A-1090 Vienna, AUSTRIA
E-mail: eva@geom2.mat.univie.ac.at, peter.bistrom@skandia.se, Andreasd.Kriegl@univie.ac.at
Abstract. 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.
AMSclassification. 46E25, 54D6
Keywords. Realcompactness, algebras of smoth functions, countably evaluating homomorphisms