Abstract
We prove that each nonzero algebra homomorphism π : C(X) −→ R is countably evaluated. This is applied to give a simple and direct proof (from the algebraic view) of the fact that each Lindel¨of space is realcompact.
Citation
Z. Ercan. S. Önal. "MULTIPLICATIVE LINEAR FUNCTIONALS OF CONTINUOUS FUNCTIONS ARE COUNTABLY EVALUATED." Taiwanese J. Math. 12 (1) 173 - 178, 2008. https://doi.org/10.11650/twjm/1500602495
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