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On characterization of a Riesz homomorphism on C(X)-space

2007-06-01
AKKAR ERCAN, ZÜBEYDE MÜGE
Önal, Süleyman
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.