TAIWANESE JOURNAL OF MATHEMATICS, vol.12, no.1, pp.173-178, 2008 (Journal Indexed in SCI)
Article / Article
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TAIWANESE JOURNAL OF MATHEMATICS
We prove that each nonzero algebra homomorphism pi : 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 Lindelof space is realcompact.