QUAESTIONES MATHEMATICAE, vol.30, no.2, pp.147-150, 2007 (Journal Indexed in SCI)
Article / Article
Title of Journal :
realcompact, Riesz homomorphism
Let X be a realcompact space. We present a very simple and elementary proof of the well known fact that every Riesz homomorphism pi : C(X) -> R is point evaluated. Moreover, the proof is given in ZF.