A remark on the homomorphism on C(X)

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Ercan Z., Onal S.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol.133, no.12, pp.3609-3611, 2005 (SCI-Expanded) identifier identifier

Abstract

Let X be a real compact space. Without using the axiom of choice we present a simple and direct proof that a non-zero homomorphism on C(X) is determined by a point.